CAT 2017 Time, Speed and Distance Question (Hard)

Question

A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75 . The ratio of the original speed of the motor boat to the speed of the river is

Accepted Answer

Let us take the speed of the boat and river to be b and x respectively and let the distance be d . As per the condition in the question, x b x - b is the normal time taken. 2x b 2x - b is the special time taken i.e., if the speed gets doubled. Since the time gets reduced by 75 , 4 left x b x - b rig

CAT 2017

Quantitative

Time, Speed and Distance

Hard

$A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75%. The ratio of the original speed of the motor boat to the speed of the river is:$

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