Amit start to go to Delhi from patna at speed of 50 km/h.Distance between Delhi and Patna is 1000 km. He takes rest of 20 minutes every 3 hours of journey. How much time will he take to arrive Delhi ?

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20 hours

21 hours

22 hours

23 hours

answer is C.

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Detailed Solution

Concept: First, determine how long it will take Amit to drive non-stop from Patna to Delhi at 50km / h. Then add up the total time he was absent. This was 20 minutes every 3 hours. With this break in mind, find out how many 3-hour batches occurred during your trip. Therefore, you can find the total time it took Amit to arrive in Delhi from Patna.
The time it takes for Amit to reach Delhi from Patna at 50 km / h can be determined using the rate equation in physics. The distance between Delhi and Patna is given as 1000 kilometres.
The velocity formula is

. Where v is the speed, s is the distance, and t is the speed v, which is the time it takes to travel the distance s.
Question Image

If Amit does not take a break, it will take 20 hours to reach Delhi from Patna.
But considering that he takes a break every three hours.
Therefore, the first break is in the third period and the second break is in the sixth period.
Therefore, the number of breaks is an integer part of the time required for non-stop driving and the quotient of 3.
Breaks taken by Amit are:

Total time taken in the break is equal to

Next, we need to convert this to time. To convert minutes to hours, you need to divide the time in minutes by 60.

Therefore, it takes the same amount of time for Amit to reach Patna from Delhi.

Hence, the correct answer is option (3).

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