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Vipin can walk a certain distance in 52 days when he rests 10hours a day.how long will he take for twice the distance if he walks twice as fast as and rest twice as long each day

A.

75

B.

100

C.

182

D.

150

Answer with explanation

Answer: Option CExplanation

Vipin rests for 10 hours a day. As there are 24 hours in a day, the time he walks is 24 – 10 = 14 hours.

Total time taken = 52days X 14 = 728 hours

As distance is directly proportional to time, to cover double the distance he needs double the time.

That is, 2 x 728 hours.

But, as speed is inversely proportional to time and directly proportional to distance, double distance will require double speed.

That is, total time is

2/2 x 728 = 728 hours.

In the new situation, he rests for twice as much that is,

10 x 2 = 20 hours. Therefore he only walks for 24 – 20 = 4 hours.

If the number of days required is x,

4x = 728

x = 728/4

= 182 days

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