Question

If 15 men can do a piece of work in 20 days. In how many days can 25 men finish the same work?

a. 12
b. 15
c. 2
d. 20

Answer 1

Twenty-five men can finish the work in 12 days. This is calculated by dividing the total man-days (300) needed for 15 men to complete the task in 20 days by the increased number of men (25). The correct answer is (a) 12 days.

The problem involves the concept of "man-days," where the total amount of work done is given by the product of the number of men and the number of days they work. The formula is
`\( \text{Work} = \text{Men} * \text{Days} \)`.

Given that 15 men can finish the work in 20 days, the total man-days for this task is
`\( 15 * 20 = 300 \)`.

Now, for 25 men to finish the same work, you can use the formula
`\( \text{Days} = \frac{\text{Work}}{\text{Men}} \)`.

`\[ \text{Days} = (300)/(25) = 12`

So, the correct answer is (a) 12 days.