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GUIDE MAT PRACTICE BOAT-STREAM

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Published in: CAT Exam | MBA
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This practice test contains fifty numbers of multiple choice questions with answers given at the end. Time allotted is 45 minutes.

Debarati M / Kolkata

13 years of teaching experience

Qualification: M.Sc (Calcutta University - 1999), ICWA ( - 2003), M.Com (Calcutta University - 1997), MBA/PGDM (MAKAUT - 2012), Ph.D (MUMBAI IIT - 0)

Teaches: Accountancy, Business Mathematics, Commerce Subjects, Economics, B.Com Tuition, Bachelor of Tourism Administration, BBA Tuition, BTTM, Hotel Management, Bank Clerical, Bank PO, Bachelor of Hospital Administration (BHA), BBA Subjects, Management Subjects, MBA Entrance, CAT Exam, CMAT, Hotel Management Entrance, IBSAT, MAT, NMAT

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  1. &GUIDECATIUTICUTPREPÅUTION a. Speed = Distance/ Time b. If a boat is moving in the direction of stream, its speed will be (speed of boat + speed of stream)and it will be called its Downstream Speed. c. If a boat is moving against the direction of stream. Its speed will be (speed of boat - speed of stream) and it will be called its Upstream Speed. d. Boat Speed = h (Downstream Speed + Upstream Speed) e. Stream Speed = 1/2 (Downstream Speed - Upstream Speed) f. Boat Speed, Man Speed are same. Similarly Stream Speed, Current Speed are same. 1. The upstream and downstream speed of a boat are 12 km/hr. and 18 km/hr respectively. Find the speed of the boat in still water and the rate of the stream. c)15 & 3 d)10 & 5 2. A boat moves down stream at the rate of 1 km in 6 minutes and upstream at the rate of 1 km in 10 minutes. Find the speed of current? 3. The speed of a boat in steel water is 4 km/hr. and the speed of current is 2 km/hr. If the time taken to reach a certain distance upstream is 9 hrs, find the time it will take to go the same distance downstream. 4. A man can row 60 kms downstream in 6 hrs, the speed of current is 3 km/hr. Then find in what time will he be able to cover 36 kms upstream? c) 10 5. A man can row 10 km/hr in still water and finds that it takes him thrice as much time to row upstream than as to row downstream the same distance in river. The speed of the current in km/hr is-----. 6. Ramesh can row a certain distance downstream in 6 hrs and return to the same distance in 9 hours. If the stream flows at the rate of 3 km/hr. Find the speed of Ramesh in still water a) 12 b) 10 c) 18 d) 15 7. The speed of a boat in still water is 8 km/hr. If it can travel 20 km. downstream at the same time as it can travel 12 km. upstream, find the rate of the stream. 8. A man can row 6 km/hr in still water. When the river is running at 1.2 km/hr it takes him 1 hour to row to a place and back. How far is the place? a) 2.58 b) 2.9 c) 3.23 d) 2.88 9. A, B and c are three places on a river in the same straight line such that AB=BC. A man can row from A to B and back to the place A in 6 hrs, also he can row from A to C in 5 hrs. Find the time taken by him to row from C to A. 10. A and B are boats which can travel at the speed of 10 km/hr. and 12 km/hr. in still water. They start from two points X and Y 132 km. apart and move towards each other. If A moves along the stream and B against the stream, Find in how much time they will meet each other. c) 10 d) 12 11. A man can row 30 kms upstream and 44 kms downstream in 10 hrs .Also he can row 40 kms upstream and 55 kms downstream in 13 hrs. Find the rate of the speed of the man in still water.
  2. 12. A swimmer can swim a certain distance in the directions of current in hours and return the same distance in 7 hrs. If the stream flows at the rate of 1 km/hr. Find the speed of the swimmer in still water. a) 1.78 b) 1.33 c) 1.87 d) 1.48 13. The speed of a boat in still water is 12 km/hr. It takes twice as long to go upstream to a point as to return downstream to the starting point. What is the speed of the current? 14. A boat covers a certain distance downstream in 4 hours but takes 6 hours to return in upstream to the starting point. If the speed of the stream be 2 km/hr, find the speed of the boat in still water. a) 12 b) 10 15. The speed of a boat in steel water is 30 km/hr. If takes thrice as long to go upstream to a point as to return downstream to the starting point. What is the rate of the current? a) 12 b ) 14 c) 17 d) 15 16. A boat cover a certain distance down stream in 5 hrs but takes 8 hours to return upstream to the starting point if the speed of the stream be 3 km/hr, What is the speed of the boat in steel water? a) 13 b) 15 d) 11 17. Speed of a boat in standing water is 5.7 km/hr and the speed of the stream is 1.3 km/hr. A distance of 9.9 km going upstream is covered in: a) 1.25 b) 2.25 c) 3.75 d) 1.75 18. The current of a stream rums at the rate 2 km/hr. A motor boat goes 10 km/he upstream and back again to the starting point in 55 minute. Then the speed of the motor boat in still water is : a) 19 b) 22 c) 20 d) 17 GUIDE CAT I MAT I CUT PREPARATION TIME e TIDE / BOATS e STREAM -2 1. The speed of a boat in still water is 6 km/hr and the speed of stream is 1.5 km/hr. A man rows to a place of distance 22.5 km and comes back to the starting point. Find the total time taken by him. 2. The speed stream is 4 km/hr. A boat goes 6 km and back to the starting point in 2 hrs. Find the speed of the boat in still water. c) 10 3. A man can row downstream at 16 km/hr and upstream at 10 km/hr. Find his speed in still water and the rate of the current. b) 15 & 3 d) 14 & 5 a) 12 c) 13 & 3 4. A man swims downstream 40 km in 4 hours and upstream 24 km in 3 hours. Find his speed in still water and also the speed of the current. 5. The speed of a boat in still water is 12 km/hr. It takes 6 hours to row a certain distance and return to the starting point in a river following at 4 km/hr. Find the distance between the two points. b) 30 d) 25 a) 32 c) 20 6. A swimmer covers a certain distance downstream in 30 minutes but takes 45 minute to return upstream the same distance. If his speed in still water is 50 meters per minute, Find the speed of the current in km/hr. b) 36 d) 25 a) 32 c) 28 7. In a river following at 2 km/hr, a boat travels 32 km upstream and then return downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time. b) 10 d) 16 a) 18 c) 12 8. A motor-boat goes 2 km upstream in a stream flowing at 3 km/hr and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time. b) 25 1/2 d) 55 a) 53 1/3 c) 28 9. A person can row a boat 32 km upstream and 60 km downstream in 9 hours. Also, he can row 40 km upstream and 84 km downstream in 12 hours. Find his speed in steel water and the rate of the current.
  3. b) 10 d) 12 & 4 c) 10 & 2 a) 12 & 2 10. A person can row a boat 35 km upstream and 45 km downstream in 8 hours. Also, he can row 42 km upstream and 60 km downstream in 10 hours. Find his speed in steel water and the rate of the current. b) 7.5 & 1.5 d) 8.5 & 1.5 a) 5.5 & 2.5 c) 6.5 & 2.5 11. The speed of a boat in still water is 8 km/hr. If the speed of stream be 2 km/hr, find in what time it can travel 36 kms in upstream. b) 630 min d) 540 min a) 510min c) 576 min 12. A man can row a boat downstream at 15 km/hr and upstream at 9 km/hr. Find his speed in still water and also the rate of the current. b) 10 & 2 d) 12 c) 18 & 2 a) 12 & 3 13. A person swims downstream 64 km in 4 hours and 40 km upstream in 5 hours. Find his speed in still water and the speed of the stream. b) 10 & 2 d) 12 & 4 a) 12 & 3 c) 18 & 2 14. A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 km/hr and the speed of the current is 3 km/hr, find the distance between A and B. b) 15 d) 12 a) 10 c) 14 15. In a river following at 5 km/hr, a boat travels 75 km upstream and then return downstream to the starting point. If its speed in still water be 20 km/hr, find the total journey time. 16. In a stream following at 4 km/hr, a motor boat goes 21 km upstream and then returns downstream to the starting point in 411 minute. What is the speed of the motor boat in still water. b) 12 d) 15 a) 10 c) 14 17. A boat man rows to a place 45 km distance and back in 20 hours. He finds that he can row 12 km with the stream in the same time as 4 km against the stream. Find the speed of the stream: a) 10 18. A man can row 4.5 km/hr in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of the stream. b) 1.5 d) 2.5 a) 1.7 c) 1.9 19. A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours & 30 minute . The speed of the boat in still water. d) 10 c) 12 20. A motor boat whose speed is 15 km/hr in still water goes 30 km downstream and come back in four and half hours. The speed of the stream is: 21. A boat takes 90 minute less to travel 36 miles downstream than to travel the same distance in upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is 22. A man makes his upward journey @16 km/hr, and downward journey @28 km/hr. What is his average speed? b) 22.36 d) 23.36 a) 20.36 c) 21.36 23. A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the stream is. ANSWERS - 1 8)2.88 18)22 10)6 11)8 12)12 22)20.36km 12)1.33 13)12 & 4. 23)4 13)4 14)10 15)15 (CLASS WORK) 6)15 16)13 (HOME WORK) 17)2.25 ANSWERS - 2 5)32 14)12 6)36 15)8 7)12 16)12 8)53 1/3 18)1.5 10)7.5 & 1.5 19)10 20)5 11)5Z6min. 21)2