Question

The speed of a boat in still water is 20 km/hr. If the boat covers 120 km in upstream in 12 hours, then find the time taken by the boat to travel 150 km in downstream.

A 11 hours Correct Answer Incorrect Answer
B 6 hours Correct Answer Incorrect Answer
C 5 hours Correct Answer Incorrect Answer
D 7 hours Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let the speed of the boat in still water and the speed of the current be ‘x’ km/hr and ‘y’ km/hr, respectively Upstream speed of the boat = (x – y) = 120/12 = 10 km/hr Or, 20 – y = 10 Or, y = 20 – 10 = 10 km/hr Therefore, downstream speed of the boat = 20 + 10 = 30 km/hr Required time taken = 150/30 = 5 hours

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