10 men can do a piece of work in 10 days.how many days can 100 men take to do the same amount of work?

If 10 men can do a piece of work in 10 days, then 100 men will do the work in 10/100, or 1/10 of the time.

10days * 1/10 = 1 day

SOLUTION:

10 men can do the work in 10 days,
1 man ,, ,, ,, ,, ,, =100 days
.'.100 men ,, ,, ,, ,, ,,=1 day

To solve this problem, we can use the concept of man-days. Man-days represent the amount of work done by one man in one day.

Given that 10 men can finish the work in 10 days, we can calculate the total man-days required for the work:

Total man-days = Number of men * Number of days
= 10 men * 10 days
= 100 man-days

Now, let's find out how many days 100 men would take to complete the same amount of work:

Number of days = Total man-days / Number of men
= 100 man-days / 100 men
= 1 day

Therefore, 100 men can complete the same amount of work in 1 day.