Question

26.
Sumit can walk a certain distance in 50 days when he rests for 10 hours each
day, how long will it take him to walk twice as far, if he walks twice as fast and
rest twice as long each day?​

Answer 1

If Sumit walks twice as far twice as fast and rests twice as long each day, then it will take him 175 days.

Step-by-step explanation:

Sumit walks a certain distance in 50 days .

We know,

1 day = 24 hrs

So, if he rests for 10 hrs on each day of his walk

Then, the working hours of Sumit per day = 24 – 10 = 14 hrs

∴ The total working time = 50 * 14 = 700 hrs

Now, it is also given that the distance, speed and the resting time is doubled by Sumit, so he will rest for 10 * 2 = 20 hrs each day

Then, the working hours per day will be = 24 – 20 = 4 hrs

Thus,  

The required time that Sumit would take to walk twice as far, twice as fast and  rest twice as long each day is given by,

= 700/4

= 175 days

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