Question

If 32 men working 12 hours a day can do a work in 15 days, how many men working 10
hours a day can do double that work in 24 days?

please answer fast. I will mark as brainliest ​

Answer 1

So the 32 men can complete the work in 15 days if they work for 12 hours per day. Then how much time they require in total to complete the work?

Well, it's 12 × 15 = 180 hours.

I.e., 32 men can complete the work in a total of 180 hours.

Since the no. of workers required to complete the work is inversely proportional to the time taken for them to complete the work, one man can complete the work in 180 × 32 = 5760 hours. This 5760 hours is the constant of proportionality.

Suppose x no. of men can complete the same work in 24 days if they work for 10 hours per day. We want to find x.

Then the x men can complete the work in a total of 24 × 10 = 240 hours.

Since one can complete the work in 5760 hours, x men can complete it in 5760 / x = 240 hours [Because both are inversely proportional].

Thus,

5760 / x = 240

x = 5760 / 240

x = 24

Hence 24 men can complete the work in 24 days, working 10 hours a day.

#answerwithquality

#BAL