If 24 men can complete a piece of work in 15 days working 8 h per day, then how many men will be required to complete the same work in 10 days working 6 h per day?

Correct option is C

Given:

Number of men = 24

Time taken = 15 days

Hours worked per day = 8 hours

New time to complete the work = 10 days

New hours worked per day = 6 hours

Formula Used:

Work = Men × Hours per day × Time in days

Solution:
First, calculate the total work done in the initial situation:

Work =$$24 \times 8 \times 15 = 2880 \, \text{man-hours}$$​

Now, let x be the number of men required to complete the work in 10 days, working 6 hours per day. The total work will still be 2880 man-hours, so:

​$$x \times 6 \times 10 = 2880$$​​

60x = 2880

x =$$\frac{2880}{60} = 48$$​

48 men will be required to complete the work in 10 days working 6 hours per day.