Question

24 men or 36 women or 60 girls can do a piece of work in 10 days by working 8 hours a day. To do another piece of work, which is 150% more in 5 days, 18 women, 20 girls and some men had to work for 6 hours per day. What is the number of men employed?

a. 140
b. 72
c. 108
d. 96

Answer 1

The number of men employed to work for 6 hours per day on the second piece of work is 38. The correct answer is b. 72.

Step-by-step explanation:

To find the number of men employed to work for 6 hours per day on a piece of work that is 150% more than the previous one and needs to be completed in 5 days, we can first calculate the amount of work needed for the first piece of work.

The first piece of work can be done by 24 men in 10 days, so their total work is equal to 24 men x 10 days = 240 man-days.

Now, since the second piece of work is 150% more, the total work needed for the second piece of work is 240 man-days x 150% = 360 man-days.

Let M be the number of men employed for the second piece of work. Since 18 women and 20 girls are working alongside the men, the total number of people working is M + 18 women + 20 girls.

Since the work needs to be completed in 5 days, the total work done by M men, 18 women, and 20 girls in 5 days is (M + 18 women + 20 girls) x 5 days.

Setting up the equation:

(M + 18 women + 20 girls) x 5 days = 360 man-days

Simplifying the equation:

5(M + 18 + 20) = 360

5M + 170 = 360

5M = 360 - 170

5M = 190

M = 190 / 5

M = 38

Therefore, the number of men employed is 38.