A river is flowing from west to east direction with speed of 9 km h − 1 . If a boat capable of moving at a maximum speed of 27 km h − 1 in still water, crosses the river in half a minute, while moving

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A river is flowing from west to east direction with speed of 9 km h − 1 . If a boat capable of moving at a maximum speed of 27 km h − 1 in still water, crosses the river in half a minute, while moving with maximum speed at an angle of 15 0 ∘ to direction of river flow, then the width of the river is :

TestHub · Accepted Answer

∴ V ⊥ ​ = river flow = 27 × cos 6 0 ∘ = 2 27 ​ km / hr . Time taken = 30 sec . ∴ S = Vt = 2 27 ​ × 18 5 ​ × 30 m = 112.5 m

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