Question:
A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
[A].2 : 1
3 : 2
8 : 3
Cannot be determined
A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
[A].
[B].
[C].
[D].
Answer: Option C
Explanation:
Let the man’s rate upstream be x kmph and that downstream be y kmph.
Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.
| x x 8 | 4 | = (y x 4) | |||
| 5 |
| 44 | x =4y | |
| 5 |
| y = | 11 | x. |
| 5 |
| Required ratio = | y + x | : | y – x | ||||
| 2 | 2 |
| = | 16x | x | 1 | : | 6x | x | 1 | ||||
| 5 | 2 | 5 | 2 |
| = | 8 | : | 3 |
| 5 | 5 |
= 8 : 3.