Question

A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is :

A 3∶1 Correct Answer Incorrect Answer
B 5∶2 Correct Answer Incorrect Answer
C 4∶3 Correct Answer Incorrect Answer
D 2∶1 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Downstream speed = x + y Upstream speed = x – y Speed = Distance/Time => x  + y = D/T  ------ (i) => x - y = D/2T  ------ (ii) On solving (i) and (ii) we will get, => x = 3D/4T => y = D/4T => x/y = (3D/4T) × (4T/D) = 3∶ 1

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