If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40 km/hr, then what is the speed of the stream?

A. 13 km/hr

B. 26 km/hr

C. 34 km/hr

D. None of these

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A. 13 km/hr

Explanation:Given:

Upstream speed = 14 km/hr

Downstream speed = 40 km/hr

so,

If speed of stream is y km/hr and speed of boat is x km/hr

then Upstream speed = (x – y) km/hr and downstream speed = (x + y) km/hr

Calculation:

x + y = 40 —- (i)

and x – y = 14 —- (ii)

∴ x = 27 km/hr ——— { after solving eq (i) and eq(ii)}

∴ y = speed of stream = 40 – 27 = 13 km/hr