Question

A certain number of men complete a piece of work in 60 days. If there were 8 men more, the work could be finished in 10 days less. How many men were originally there ?

Answer 1

Let there be x men originally.

x men finish the work in 60 days and (x+8) finish it in 50 days.

x men finish the job in 60 days.

1 man can finish it in 60x days.

(x+8) men can finish the job in 50 days.

1 man can finish it in 50(x+8) days.

Therefore,

$60x=50(x+8)$

$10x=400$

$x=40$

Hence, there were 40 men originally.