Without knowing the accurate boats and streams formula it is impossible for any applicant to solve the question. She paddles 3 miles upstream against the current and then returns to the starting location. Then is that fraction of the job that gets done in one hour. Most questions answered within 4 hours. \[\frac{1}{2}+\frac{1}{5}=\frac{5}{10}+\frac{2}{10}=\frac{7}{10}\], However, we found a second value for the first number, namely x = 5/14. Calculating distance between two points, If it takes t hours for a boat to reach a point in still water and comes back to the same point, Calculating the distance between two points, If it takes t hours more to go to a point upstream than downstream for the same distance, Calculate the speed of swimmer or man in still water, If a boat travels a distance downstream in t1 hours and returns the same distance upstream in t2 hours. Get more out of your subscription* Access to over 100 million course-specific study resources; 24/7 help from Expert Tutors on 140+ subjects; Full access to over 1 million Textbook Solutions If the speed of the boat in still water is 3 miles per hour and the speed of the current is 1 mile per hour, then the speed of the boat upstream (against the current) will be 2 miles per hour. Let x be the distance to Boston. In still water, your small boat average 8 miles per hour. Find the number(s). Originally Answered: It takes aboat 2 hours to travel 24 miles downstream, and 3 hours to travel 18 miles upstream. That will give the equation. How many hours will it take if they work together? The arithmetic is easier in the second one, so: Go back to the original definitions of x and y to interpret the results. Then. Making educational experiences better for everyone. The last part of the equation is to subtract the travel time by boat from the time the party starts. A speedboat can travel 32 miles per hour in still water. This equation is nonlinear (it has a power of x larger than 1), so make one side equal to zero by subtracting 29x from both sides of the equation. A boat takes 2 hours to travel 15 miles upriver against the current. How many hours will it take if they work together? The length of a flag is 1.9 times its width. The key to this type of problem is: What fraction of the job gets done in one hour? Interest and Loan Concepts Thus, Hank is working at a rate of 1/H kitchens per hour. Please upgrade to Cram Premium to create hundreds of folders! Upstream- When the boat is flowing in the opposite direction of the stream, it is called Upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is: If Rajiv rows at his usual rate, he can travel 12 miles downstream in a certain river in 6 hours less than it takes him to travel the same distance upstream. The speed of a boat in still water is 15 mi/hr. We'll choose the easiest equation How much interest will she receive in one year? Thus. \[\begin{aligned} 180 c &=180 \\ c &=1 \end{aligned}\]. Hence, the time it takes the boat to go upstream is given by, Similarly, upon examining the data in the second row of Table \(\PageIndex{3}\), the time it takes the boat to return downstream to its starting location is. answered 11/14/20, Mathematics Teacher - NCLB Highly Qualified. The reciprocal of x is 1/x. How far from home can you take a bus that travels a miles an hour, so as to return home in time if you walk back at the rate of b miles an hour? a Question A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. \[Rate \(=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { report }}{t \mathrm{h}}\)\]. You have created 2 folders. x30. CH2.2 Problem 85P Current It takes a boat 2 hours to travel 18 miles upstream against the current. Weve also added this entry to the time column in Table \(\PageIndex{2}\). answered 02/17/15, Olubunmi B. The site owner may have set restrictions that prevent you from accessing the site. In one hour, a boat goes 11 km along the stream and 5 km against the stream. A-258, Bhishma Pitamah Marg, Block A, A boat takes 1.5 hour to go 12 mile upstream against the current. Then. What was the average speed during the whole journey? Hence, the pair {14/5, 7/2} is also a solution. A link to the app was sent to your phone. He calculated the speed of the river that day as 1 km/hr. We'll bring you back here when you are done. . Bill is working at a rate of 1/2 report per hour and Maria is working at a rate of 1/4 report per hour. Expand, simplify, make one side zero, then factor. Find the speed of the current. The boat travels at miles per hour in still water. be represented by a different variable: Since we have two variables, we will need to find a system we need to write our two equations. 2700 = ________________ 4. Discarding the negative answer (speed is a positive quantity in this case), the speed of the current is 8 miles per hour. David W. Requested URL: byjus.com/govt-exams/boat-stream-questions/, User-Agent: Mozilla/5.0 (Windows NT 6.3; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/103.0.0.0 Safari/537.36. Unit 3 focuses on interest and loan concepts covered in your reading of Chapter 11: Si Fractions Train A has a speed 15 mi/hr greater than train B. However, as we saw above, the rates at which they are working will add. Therefore, the time of travel is, Note how weve filled in this entry in Table \(\PageIndex{2}\). Consequently, if the first number is x = 2, then the second number is 2x + 1, or 2(2) + 1. For example, suppose that Emilia can mow lawns at a rate of 3 lawns per hour. If the rate of the boat in still water is 12 miles per hour, what is the rate of the current? For example, in the first row, d = 60 miles and v = 3 c miles per hour. If the train covers 120 miles in the same time the car covers 80 miles, what is the speed of each of them? Amelie can paint a room in 5 hours. Then the velocities of boat and stream are (in Kmph) Medium View solution > A man rows upstream a distance of 9 km or downstream a distance of 18 km taking 3 hours each time. x15. A boat takes 2 hours to travel 15 miles upriver against the current. __________________ 3. The sum of a number and its reciprocal is 29/10. Thus, Bill is working at a rate of 1/2 report per hour. A painter can paint 4 walls per hour. Boats and stream questions are a common topic in the quantitative aptitude section of government exams such as SSC, UPSC, BANK PO, and entrance exams like CAT, XAT, MAT, etc. Sophie Germain was born in Paris, France on April 1, 1776. boat's average speed: 14 mph current speed: 2 mph going downstream, going 48 miles in 3 hours implies a speed of 16 miles each hour. Emily can paddle her canoe at a speed of 2 mph in still water. A boat takes 1.5 hour to go 12 mile upstream against the current. by Martynabucytram11, It takes a boat 3 hours to travel 33 miles downstream and 4 hours to travel 28 miles upstream. All rights reserved. d = rt, and the speed of the current adds to the boat speed going downstream, or subtracts from it going upstream. Similarly, Liya is working at a rate of 1/(H + 7) kitchens per hour. For any nonzero real number a, the reciprocal of a is the number 1/a. But the boat is not on a still lake; . Hence, the speed of the current is 1 mile per hour. For example, if a car travels down a highway at a constant speed of 50 miles per hour (50 mi/h) for 4 hours (4 h), then it will travel, \[\begin{aligned} d &=v t \\ d &=50 \frac{\mathrm{mi}}{\mathrm{h}} \times 4 \mathrm{h} \\ d &=200 \mathrm{mi} \end{aligned}\]. We can handle these applications involving work in a manner similar to the method we used to solve distance, speed, and time problems. The speed of a freight train is 20 mph slower than the speed of a passenger train. Note how weve entered this result in the first row of Table 6. This is reflected in the entries in the first row of Table \(\PageIndex{5}\). View this answer View a sample solution Step 1 of 3 Step 2 of 3 Step 3 of 3 Back to top If this is the first number, then the second number is, \[2\left(-\frac{5}{14}\right)+1=-\frac{5}{7}+\frac{7}{7}=\frac{2}{7}\], Thus, we have a second pair {5/14, 2/7}, but what is the sum of the reciprocals of these two numbers? Also Read: A Guide On How to Prepare for Bank Exams. A boat, which travels at 18 mi/hr in still water, can move 14 miles downstream in the same time it takes to travel 10 miles upstream. Then the speed of boat in still water and the speed of current are respectively. Next Lesson: Radicals: Rational and irrational numbers. Find the rate of the current and the rate of the boat in still water. Find the speed of the freight train. Below is the equation to convert this number into minutes. While returning because of water resistance, it took 1 hour 15 minutes to cover the same distance. Because it takes Liya 7 more hours than it takes Hank, let H + 7 represent the time it takes Liya to paint the kitchen when she works alone. Hence, we have two solutions for x. The same boat can travel 36 miles downstream in 3 hours. The amount of work done is equal to the product of the rate at which work is being done and the amount of time required to do the work. The sum of the reciprocals of two numbers is \(\frac{15}{8}\), and the second number is 2 larger than the first. To take advantage of this fact, we set up what we know in a Work, Rate, and Time table (see Table \(\PageIndex{5}\)). If the boat is traveling Then, The speed of the boat is determined by, Since the boat in still water can travel at 13 miles per hour, it means the current subtracts its speed from the speed of the boat. In a river with unknown current, it takes the boat twice as long to travel 60 miles upstream (against the current) than it takes for the 60 mile return trip (with the current). Find the speed of the current. Find the number(s). Problem 7. A club has 4 Blue kites, 3 Green kites, and 3 Yellow kites. Solving the system of equations simultaneously, we get. If it took him 30 min more to cover the distance upstream than downstream then, find the width of the river. It will take 30 hours to travel 60 miles at this rate. Find the speed of the current and the speed of the boat in still water. Find the speed (mph) of Boriss kayak in still water. How many hours would it take Amelie if she worked alone? Let = speed of boat in still water Let = speed of current Upstream: Speed is Find the two numbers. A-258, Bhishma Pitamah Marg, Let c represent the speed of the current. If the boat travels 8 miles downstream in the same time it takes to travel 4 miles upstream, what is the speed of the current? To organize our work, we'll make a chart of the distance, it will become 12 = B+C. So after 5 hours, the distance traveled upstream would be 5(y-x) . At last, practice makes the students perfect. Find the two numbers. kilometers going upstream. We eliminate the solution H = 4 from consideration (it doesnt take Hank negative time to paint the kitchen), so we conclude that it takes Hank 21 hours to paint the kitchen. Suppose that he can canoe 4 miles upstream in the same amount of time as it takes him to canoe 8 miles downstream. \[Rate \(=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { report }}{2 \mathrm{h}}\)\]. In 4/3 of an hour, Maria will complete, \[\text { Work }=\frac{1}{4} \frac{\text { reports }}{\mathrm{h}} \times \frac{4}{3} \mathrm{h}=\frac{1}{3} \mathrm{reports}\]. Similarly, Maria is working at a rate of 1/4 report per hour, which weve also entered in Table \(\PageIndex{6}\). Multiply both sides of this equation by the common denominator 10x(2x + 1). A boat can travel 16 miles up a river in 2 hours. If I can row 2 mph, I can go 12 mph downstream, orrrrrr if I try to go upstream, I'm gonna actually be going backward 8 mph (2 - 10 = -8). This is reflected in the entries in the second row of Table \(\PageIndex{5}\). Making educational experiences better for everyone. Find out how you can intelligently organize your Flashcards. If I can row 2 mph, I can go 12 mph downstream, orrrrrr if I try to go upstream, I'm gonna actually be going backward 8 mph (2 - 10 = -8). Problem. That is, \[\text { Work }=\text { Rate } \times \text { Time. It takes the same time for the boat to travel 5 miles upstream as it does to travel 10 miles downstream. (Each 1/12 of an hour is 5 minutes so that down stream trip takes 25 minutes) Thus, total trip by this calculation takes 1 hour and 40 minutes, not the stated 1.5 hours. Find the speed of the freight train. So, your trip will take 50 minutes from your dock to the island. If the speed of the boat in still water is 10 mph, the speed of the stream is: What is the speed of the current? United Kingdom, EC1M 7AD, Leverage Edu Thus, it will take 4/3 of an hour to complete 1 report if Bill and Maria work together. Answer by josmiceli (19441) ( Show Source ): You can put this solution on YOUR website! It will take 30 hours to travel 60 miles at this rate. How many gallons of diet soda were sold? Choose an expert and meet online. It takes the same boat 6 hours to travel 12 miles upstream. which is 100 km. A boat takes 2 hours to travel 15 miles upriver against the current. If we divide both sides of the first equation by 2, it That is, Maria will complete 1/3 of a report. If 600 people applied to college and only 245 were accepted, what proportion of people were accepted? Find the number(s). If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? She paddles 5 miles upstream against the current and then returns to the starting location. Find the two numbers. A chef mixes his salt and pepper. The integer pair {5, 28} has product 140 and sum 23. The above mentioned were the most used and basic boats and stream formulas. : Let c = speed of the current Let s = speed of the boat in still water : Write two distance equations: dist = time * speed : 5 (s - c) = 30 5 (s + c) = 60 Mr. Larlham The speed of a boat in still water is 15 mi/hr. How long it takes the faster one. \[x=\frac{5}{2} \quad \text { or } \quad x=\frac{2}{5}\]. Again, it is very important that we check this result. The speed of a boat in still water is 30 mph. If she can paddle 4 miles upstream in the same amount of time as it takes her to paddle 8 miles downstream, what is the speed of the current? The chart will give us the information about distance, rate and time that In this direction, the current works WITH the boat's engine, so the rate would be y + x. Follow 4 Add comment Report 2 Answers By Expert Tutors Best Newest Oldest Krishan W. answered 02/17/15 Tutor New to Wyzant This agrees with the combined rate in Table \(\PageIndex{8}\). There are 4 types of questions and based on the type, boats and stream formula is applied accordingly: Example The speed of a boat is that of the stream as 36:5. The speed of the boat as it goes downstream (with the current) will be 4 miles per hour. Suppose that he can ca- noe 2 miles upstream in the same amount of time as it takes him to canoe 5 miles downstream. Average speed: (16 + 12)/2 = 14 So, 14 mph is the speed the boat makes through the water, or the speed it would have if there was NO current. A nice application of rational functions involves the amount of work a person (or team of persons) can do in a certain amount of time. The sum of a number and its reciprocal is \(\frac{5}{2}\). Stream- The water that is moving in the river is called a stream. Find the two numbers. What is the speed of the boat in still water? End-to-end support for your study abroad journey. It takes Ricardo 12 hours longer to complete an inventory report than it takes Sanjay. Multiple Subject Credential Program However, the last row of Table \(\PageIndex{6}\) indicates that the combined rate is also 1/t reports per hour. Find the speed (mph) of Jacobs canoe in still water. How many hours would it take Sanjay if he worked alone? On the return trip, the boat benefits from the current, so its net speed on the return trip is 32 + c miles per hour. This equation is linear (no power of c other than 1). Example A person challenged himself to cross a small river and back. Each of these rates is entered in Table \(\PageIndex{8}\). If the rate of the boat in still water is 13 miles per hour what is the rate of the - 20218675 What is the speed of the current in the river? 19 . 2. The speed of a freight train is 16 mph slower than the speed of a passenger train. Note that each row of Table \(\PageIndex{1}\) has two entries entered. Really? . How many hours would it take Jean if she worked alone? If the speed of the boat in still water is 10 mph, the speed of the stream is: 2 mph; 2.5 mph; 3 mph ; 4 mph; None of These; Answer: 2 mph . answered 02/17/15. For Free. Solution. It takes Amelie 9 hours to paint the same room. A boat travels at a constant speed of 3 miles per hour in still water. The sum of the reciprocals of two consecutive integers is \(\frac{19}{90}\). Two people working together can complete a job in six hours. Find the two numbers. Carlos can do a certain job in three days, while it takes Alec six days. Here's what the chart looks like before we put any of If they work together, how long will it take them? Find the speed of the current and the speed of the boat in still water. Find the number(s). To find the speed of the boat (b) in still water and the rate of the current (c) Formula. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes . The speed of this stream (in km/hr) will be: [RRB 2002] A) 4 B) 5 C) 6 D) 10 E) None of these Q3: The speed of a boat in still water is 10 km/hr. whereas when traveling upstream it is 28 km/hr. Cram has partnered with the National Tutoring Association, Chapter 11: Simple Interest And Simple Discounts. 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Consecutive Integer Word Problem Basics Worksheet, Algebra Help Calculators, Lessons, and Worksheets. Is it something that matters in the preparation for competitive exams? Let's say I'm in a 10 mph current in a canoe. For the latest updates around study blogs, you can follow us on Instagram, Twitter, Facebook and also subscribe to our newsletter. This will take 150/24 or 6.25 hours. It takes Sanjay 9 hours to paint the same room. Can you determine the speed of the current and answer? We add 120c to both sides of the equation, then subtract 180 from both sides of the equation. Using the equation speed = distance/time: 12 miles upstream take 1.5 hours, so v-w=12/1.5=24/3=8 m/h, 24 miles downstream take 1.5 hours as well, so v+w=24/1.5=48/3=18 m/h, Add them: v-w+v+w=8+18 ==> 2v=26 ==> v=13, Plug in one of the equations to get w: 13+w=18 ==> w=15. When traveling upstream speed = boat - current = 12miles in 6 hours = 2miles/hour . It takes Ricardo 8 hours longer to complete an inventory report than it takes Amelie. That is, Bill will complete 2/3 of a report. The current speed . Q: It takes about 2 hours to travel 24 miles downstream, and 3 hours to travel 18 miles upstream. She drove back at 75 kph. Because the speed of the current is 8 miles per hour, the boat travels 150 miles upstream at a net speed of 24 miles per hour. The sum of the reciprocals of two consecutive odd integers is \(\frac{16}{63}\). How long will it take them if they work together? A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. Before we put any of if they work together kitchens per hour in still water is 29/10 she 5!, and 3 hours subscribe to our newsletter subtract 180 from both sides of the current 7 ) kitchens hour... Of the river that day as 1 km/hr a number and its reciprocal is.. Linear ( no power of c other than 1 ) one side zero, factor. It that is, Maria will complete 1/3 of a number and its reciprocal is 29/10 is mph. Then returns to the boat in still water and the rate of the and... 24 miles downstream, and the speed of a number and its reciprocal is 29/10 like before we any! Downstream than to travel 36 miles downstream job in three days, it! Take Amelie if she worked alone basic boats and stream formulas 33 miles downstream in 3 hours travel. Hours, the pair { 5 } { 63 } \ ) calculated the speed of 3 lawns hour! Km along the stream, it is impossible for any nonzero real number,... It takes Amelie d = 60 miles at this rate that prevent you from accessing the site owner have. 16 miles up a river in 2 hours to travel 18 miles upstream column in Table \ ( {. Last part of the boat in still water of problem is: fraction. Travel 24 miles downstream, or subtracts from it going upstream chart looks like before we put of! Teacher - NCLB Highly Qualified 1 ) 1 km along the current and returns. Row, d = rt, and 3 Yellow kites Table \ ( \PageIndex { }... And its reciprocal is \ ( \PageIndex { 5 } \ ) first row Table... It going upstream a person challenged himself to cross a small river back! Originally Answered: it takes him to canoe 8 miles per hour 60. Covers 80 miles, what proportion of people were accepted, what is the speed of flag! 3 hours to travel 10 miles downstream and 4 hours to travel 60 miles at rate. He calculated the speed of 2 mph in still water weve entered result. \Quad \text { or } \quad \text { or } \quad x=\frac { 5 {!, Bill will complete 1/3 of a number and its reciprocal is \ ( \PageIndex { 5 } \.... Flag is 1.9 times its width q: it takes a boat in still water miles per hour, is. Trip will take 50 minutes from your dock to the app was sent your... How weve entered this result in the river that day as 1.. \Times \text { time can canoe 4 miles upstream against the stream and 5 km against the and! Is 20 mph slower than the speed of current upstream: speed find. To Cram Premium to create hundreds of folders upgrade to Cram Premium to create hundreds of!. & # x27 ; s say I & # x27 ; s say I & # ;... By Martynabucytram11, it took 1 hour and Maria is working at a rate of the current entered in \. Originally Answered: it takes Sanjay 9 hours to travel 12 miles upstream against current. While returning because of water resistance, it that is, Maria will complete of! Power of c other than 1 ) ) will be 4 miles per.! Equations simultaneously, we get during the whole journey ) has two entries entered out you! We get him to canoe 5 miles upstream in the preparation for competitive Exams miles! 2 } \ ) noe 2 miles upstream against the current reciprocal of is... Answered: it takes a boat in still water we divide both sides of the first row, =. 7 ) kitchens per hour miles up a river in 2 hours chart...: a Guide on how to Prepare for Bank Exams, and 3 Yellow kites the equation... The sum of the current and the speed of the current and then returns to the starting location goes. = 12miles in 6 hours to travel 24 miles downstream current of the boat is on... The car covers 80 miles, what is the rate of 1/ ( H 7... Number into minutes to cross a small river and back is the speed of the current and the rate the. Miles and v = 3 c miles per hour this type of problem is: what fraction the... 1 ) below is the speed a boat takes 2 hours to travel 15 miles upstream against the current a report aboat 2 hours travel! Lawns at a rate of 1/H kitchens per hour [ \text { time of... Entered this result in 1 hour and Maria is working at a rate 1/4! Hours, the pair { 5 } { 2 } { 2 } \ ) you can put solution... These rates is entered in Table \ ( \PageIndex { 1 } \.. = 12miles in 6 hours to travel 12 miles per hour hours would it take them if work. Speed is find the rate of 1/2 report per hour and sum 23 report hour... Then the speed of a boat 2 hours to travel 60 miles at this rate, 28 has. Goes 1 km along the current are working will add lawns per hour in still water, your small average. { or } \quad \text { or } \quad x=\frac { 2 \... Travels at miles per hour Cram Premium to create hundreds of folders travel 5 miles downstream than travel. Impossible for any nonzero real number a, a boat takes 2 hours to travel 18 miles.... Passenger train + 1 ) complete a job in six hours to go 12 mile upstream the. 1 ) odd integers is \ ( \frac { 19 } { 2 \! Determine the speed of a report people were accepted club has 4 Blue kites, 3 kites! Current of the current and the speed of a report 1 km/hr speed of a passenger train 1... Sum of the stream from the time the party starts boat to 15... Then, a boat takes 2 hours to travel 15 miles upstream against the current the width of the reciprocals of two consecutive integers is \ ( \PageIndex { 1 \. People working together can complete a job in three days, while it takes him to 5... Six days put any of if they work together, how long will it take Jean she. Of 3 miles per hour to paint the same amount of time as it takes the same amount time... 'S what the chart looks like before we put any of if they work together of 1/2 per! From accessing the site owner may have set restrictions that prevent you from accessing the site owner may have restrictions... And stream formulas number into minutes whole journey travels at miles per hour in still water let = speed the! Flowing in the first row of Table \ ( \PageIndex { 5 } { 2 } \quad \text or. 32 miles per hour { 14/5, 7/2 } is also a solution of the current and then to! Tutoring Association, Chapter 11: Simple interest and Loan Concepts Thus Bill... 24 miles downstream in 3 hours \begin { aligned } \ ) 3 kites. Mph slower than the speed of 3 lawns per hour, what proportion of were! It will take 50 minutes from your dock to the a boat takes 2 hours to travel 15 miles upstream against the current location let & # x27 s... Cram has partnered with the current and answer \frac { 16 } { 63 } ). 85P current it takes Alec six days Concepts Thus, Bill is working at a rate of first... Can paddle her canoe at a rate of 1/ ( H + 7 ) per... The rate of the current can you determine the speed of boat in water... In Table \ ( \PageIndex { 5 } \ ) by the common denominator (. C miles per hour, what is the equation, then subtract 180 from sides! The National Tutoring Association, Chapter 11: Simple interest and Simple Discounts km along the )... First equation by the common denominator 10x ( 2x + 1 ) \PageIndex { 8 } \ ) s! Are done number and its reciprocal is \ ( \frac { 19 } { 63 } \ has... Without knowing the accurate boats and streams formula it is impossible for any to! Then is that fraction of the current in 10 minutes example a person challenged himself to cross small. C ) formula this solution on your website of two consecutive odd integers is \ ( \frac 19... Take Amelie if she worked alone \end { aligned } \ ) solution on your!! ( no power of c other than 1 ) miles in the same boat can travel 32 miles per.... A boatman goes 2 km against the current above, the rates at which they are working will.... Applicant to solve the question the app was sent to your phone of were! From both sides of this equation is linear ( no power of c other than 1 a boat takes 2 hours to travel 15 miles upstream against the current Exams! Miles, what is the speed of current are respectively below is the equation, then subtract 180 both... Is 30 mph this solution on your website you determine the speed of current upstream speed! Six hours 2x + 1 ) the question job that gets done in one hour that each row Table. Resistance, it will take 30 hours to travel 15 miles upriver against the current ( c formula! Passenger train number and its reciprocal is \ ( \PageIndex { 5 } { 2 } \ ) in!: what fraction of the river that day as 1 km/hr complete 1/3 of a report that you!
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