Quant Quiz

1. Rajesh can row 12 km/h in still water. It takes him thrice as long to row up as to row down the river. Find the rate of stream. 
(a) 5 km/h
(b) 4 km/h
(c) 3 km/h
(d) 6 km/h
(e) 9 km/h

2. A boatman can row 12 km/h in still water. When the river is running at 3 km/h, it takes him 1 h to row to a place and to come back. How far is the place (app. Distance)? 
(a) 4 km
(b) 6 km
(c) 8 km
(d) 10 km
(e) None of these

3. Rahim rows in still water with a speed of 4.5 km/h to go to a certain place and to come back. Find his average speed for the whole journey, if the river is flowing with a speed of 1.5 km/h.
(a) 3 km/h
(b) 5 km/h
(c) 4 km/h
(d) 6 km/h
(e) None of these

4. A boat covers 40 km in an hour with downstream and covers the same distance in 2 h with upstream. Then, find the speed of boat in still water and speed of stream. 
(a) 20 km/h, 10 km/h
(b) 10 km/h, 5 km/h
(c) 30 km/h, 10 km/h
(d) 10 km/h, 5 km/h
(e) None of these

5. Rahul can row downstream at 10 km/h and upstream at 6 km/h. Find the speed of Rahul in still water and speed of current.
(a) 7 km/h and 2 km/h
(b) 8 km/h and 6 km/h
(c) 7 km/h and 3 km/h
(d) 8 km/h and 2 km/h
(e) None of the above

6. A boatman rows 1 km in 5 min along the stream and 6 km in 1 h against the stream. The speed of the boat is 
(a) 3 km/h
(b) 6 km/h
(c) 10 km/h
(d) 12 km/h
(e) None of these

7. Speed of motorboat in still water is 45 km/h. If the motorboat travels 80 km along the stream in 1 h 20 min, then the time taken by it to cover the same distance against the stream will be 
(a) 140 min
(b) 120 min
(c) 160 min
(d) 155 min
(e) None of these

8. A yacht running upstream takes 528 min to cover a certain distance, while it takes 240 min to cover the same distance running downstream. What is the ratio between the speed of the current and speed of the yacht, respectively? 
(a) 1 : 2
(b) 5 : 2
(c) 8 : 3
(d) Couldn’t be determined
(e) None of the above

9. In a river, the ratio of the speed of still boat and speed of a stream in still water is 5 : 2. Again, ratio of the speed of another boat and speed of stream in still water is 4 : 3. What is the ratio of the speeds of the second boat to the first boat in still water?
(a) 10 : 7
(b) 15 : 8
(c) 4 : 3
(d) 5 : 4
(e) None of the above

10. X, Y and Z are situated at the bank of river which is flowing at a constant rate. Y is at an equal distance with X and Z. A swimmer Aviral takes 10 h to swim from X to Y and Y to X. Also, he takes 4 h to swim from X to Z. What is the ratio of speed of Aviral in still water and speed of stream? 
(a) 7 : 3
(b) 3 : 5
(c) 2 : 5
(d) 1 : 2
(e) None of the above