Question

The speed of a boat is that of the current of water is 35:6. The boat goes along with the current in 5 hours 10 minutes. Approximately at what time it will come back.

A 9(4/5) hrs Correct Answer Incorrect Answer
B 7(1/3) hrs Correct Answer Incorrect Answer
C 6(3/4) hrs Correct Answer Incorrect Answer
D 4(1/3) hrs Correct Answer Incorrect Answer

Solution

Let the speed of the boat in still water = 35x km/hr And the speed of the current = 6x km/hr Time = 5 hours 10 minutes = 31/6 hrs Downstream speed = 35 + 6 = 41 km/hr Upstream speed = 35x - 6x = 29x km/hr Distance = Downstream speed x Downstream time Distance = [41x x (31x/6)] km Upstream time = Distance / Upstream speed Upstream time = [41x x (31x/6)]/29x = 1271/174 = 7(1/2) hrs

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