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
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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
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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