Question
A ship, when moving against the current, can travel a
distance of 240 km in 8 hours. If the ship's speed in calm waters is 40 km/hr, how many hours will it take to cover a distance of 150 km when moving downstream with the current?Solution
ATQ, Let, the speed of the stream be x km/hr. So, upstream speed = (40 – x) km/hr According to the question, 240/(40 – x) = 8 On solving, x = 10 km/hr So, downstream speed = 40 + x = 40 + 10 = 50 km/hr Time taken to cover the distance = 150/50 = 3 hours
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