Question

A certain number of men can finish a piece of work in 40 days. If there are 9 less men, the work will be completed 15 days later. How many men were originally there?​

Answer 1

Answer:

24 men

Step-by-step explanation:

We take that the efficiency of each man is equal. Thus:-

Let the total men be x

Now if x men do work in 40 days, then efficiency of 1 man = 40/x

In the next case, if x-9 do work in 40+15=55 days, then efficiency of 1 man = 55/x-9

The efficiency of 1 man in both cases should be equal, as assumed in the very beginning of the question-

40/x = 55/x-9

→ 40x - 360 = 55x

→ 15x = 360

→ x = 24 men