If 5 men working 6 hours a day can reap a field in 20 days, in how many days will 15 men reap the field if they work for 8 hours a day?

it takes 600 man-hr to reap the field

600 / (8 * 15)

5 men 6 hours 20 days

15 men 8 hours ?
120/8 =20
20*6=120

To solve this question, we can use the concept of man-days of work. A man-day is the amount of work done by one person in one day.

Given that 5 men can reap the field in 20 days, we can calculate the number of man-days required to complete the work. This can be done by multiplying the number of men, the number of hours they work per day, and the number of days it takes to complete the work.

Man-days = Number of men × Hours worked per day × Number of days

Man-days = 5 men × 6 hours per day × 20 days
= 600 man-days

Now, we need to find out how many days will it take for 15 men to reap the field if they work for 8 hours per day.

Number of days = Man-days / (Number of men × Hours worked per day)

Number of days = 600 man-days / (15 men × 8 hours per day)
= 600 / 120
= 5 days

Therefore, 15 men working for 8 hours a day will be able to reap the field in 5 days.