Question
The downstream speed of a boat is 8 km/hr more than its
upstream speed and the ratio of the speed of the boat in still water to the speed of the stream is 5:2. Find the total time taken by boat to travel 42 km downstream and 36 km upstream?Solution
Let the speed of boat in still water be x km/hr and that of stream be y km/hr. ATQ, ⇒ (x + y) – (x – y) = 8 ⇒ y = 4 km/hr ⇒ x = 4 × 5/2 = 10 km/hr Required time = [42/(10+4)] + [36/(10−4)] = 9 hr
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