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The ratio of the speed of a boat and speed of the stream is 9 : 5 and the ratio of the speed of another boat to that of the first boat is 4 : 3. What will be the ratio of the time required for the second boat to cover a certain distance downstream to that in upstream?

The ratio of the speed of a boat and speed of the stream is 9 : 5 and the ratio of the speed of another boat to that of the first boat is 4 : 3. What will be the ratio of the time required for the second boat to cover a certain distance downstream to that in upstream? Correct Answer 7 : 17

Given:

First boat : stream = 9 : 5

First boat : second boat = 3 : 4

Concept:

Going along the stream, resultant speed = speed of the boat in still water + speed of the stream.

Going against the stream, resultant speed = speed of the boat in still water - speed of the stream.

Formula used:  s = v × t

Where, s = distance of the journey, v = speed, t = time taken

Calculation:

Let us assume speed of the first boat = 9x

∴ Speed of the stream = 5x

∴ Speed of the second boat = 9x × 4/3 = 12x

For the second boat,

Downstream speed = 12x + 5x = 17x

Upstream speed = 12x – 5x = 7x

Ratio of speed = 17x : 7x =17 : 7

Ratio of time = 7 : 17

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