A boat makes a return journey from point A to point B and back in 5 hours 36 minutes One way it trav...........

Quant (SSC) Boats and Streams

A boat makes a return journey from point A to point B and back in 5 hours 36 minutes. One way it travels with the stream and on the return it travels against the stream. If the speed of the stream increases by 2 km/hr, the return journey takes 9 hours 20 minutes. What is the speed of the boat in still water? (The distance between A and B is 16 km.)

5 km/hr

3 km/hr

7 km/hr

9 km/hr

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Explanation:

Let x be speed of u / s and y be the speed of d / s.
∴ (16/x) + (16/y) = (28/5) and 16/(y+2) + 16/(x-2) = 28/3
Solving these 2 equations, we get x = 4km/hr and y = 10km/hr
∴ speed of boat in still water = (4+10) / 2 = 7km/hr.