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4 men can repair a road in 7 hours. How many men are required to repair the road in 2 hours?

Question

4 men can repair a road in 7 hours. How many men are required to repair the road in 2 hours?

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Solution

To solve this problem, we first need to understand the relationship between the number of men and the time it takes to repair the road.

Step 1: Find the work done by one man in one hour. Since 4 men can repair the road in 7 hours, one man would take 4 times as long to do the same job, so one man can repair the road in 4*7 = 28 hours.

Step 2: Find the amount of work one man can do in one hour. Since one man can complete the job in 28 hours, in one hour, he can complete 1/28 of the job.

Step 3: Find the number of men required to complete the job in 2 hours. If one man can do 1/28 of the job in one hour, in 2 hours, he can do 2/28 or 1/14 of the job. To complete the whole job in 2 hours, we would need 14 men (since 14*(1/14) = 1).

So, 14 men are required to repair the road in 2 hours.

This problem has been solved

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