The speed of a boat in still water is thrice the speed of the stream If the boat takes 15 5 sec to g...........

Quantitative Aptitude (CPO) Boats and Streams

The speed of a boat in still water is thrice the speed of the stream. If the boat takes 15.5 sec to go to a certain place

downstream, then find the additional time required to cover the same distance travelling upstream.

This questions was previously asked in

SSC CPO 11th Nov 2022 Shift 2

15.5 sec

29 sec

31 sec

35 sec

- Let's denote:

- Speed of the stream = S

- Speed of the boat in still water = 3S

- Downstream speed = Speed of the boat + Speed of the stream = 3S + S = 4S

- Upstream speed = Speed of the boat - Speed of the stream = 3S - S = 2S

- The time taken to travel a distance downstream is inversely proportional to speed.

- The time taken downstream = 15.5 seconds.

- The distance covered downstream = 4S * 15.5

- Time taken to cover the same distance upstream = Distance / Upstream speed

- Thus, upstream time = (4S * 15.5) / 2S = 2 * 15.5 = 31 seconds

- Additional time required = 31 seconds - 15.5 seconds = 15.5 seconds

- Correct Answer: Option 1 - 15.5 sec

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