Question

A man can row 8 km/hr in still water. If the speed of the current is 2 km/hr, it takes 5 hours more in upstream than in the downstream for the same distance. Find the distance.

A 63 km Correct Answer Incorrect Answer
B 75 km Correct Answer Incorrect Answer
C 82 km Correct Answer Incorrect Answer
D 70 km Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Speed of man in still water = x = 8 km/hr Speed of current = y = 2 km/hr Let the distance be x km. Now according to the question, Upstream time = Downstream time + 5 => x/(8-2) – x/(8+2) = 5 => x/6 – x/10 = 5 => [(5x - 3x)/30] = 5 => x = 75 km

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