Question

The speed of a boat in still water is twice the speed of the current. The difference between downstream and upstream speeds is 16 km/h. If the boat spends 10 hours to travel the same distance 'q' km each way, find 'q'.

A 20 km Correct Answer Incorrect Answer
B 50 km Correct Answer Incorrect Answer
C 60 km Correct Answer Incorrect Answer
D 55 km Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

ATQ, Let the speed of the stream = t km/h Speed of the boat in still water = 2t km/h Upstream speed of the boat = 2t – t = t km/h Downstream speed of the boat = 2t + t = 3t km/h Difference in Speed: - 3t - t = 2t  = 16 km/h, so, t = 8 km/h Calculate the time for each distance 'q':

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