Question

A certain number of men can finish a piece of work in 50 days. If there are 7 more men, the work can be completed 10 days earlier. How many men were originally there?

Answer 1

Let the number of original men be $x$

Given that work completes in $50$ days.

Given that if there are $7$ more men, the work can be completed $10$ days earlier.

Therefore, $\frac{1}{50x}=\frac{1}{40(x+7)}$

$⟹50x=40x+280$

$⟹10x=280$

$⟹x=28$

Therefore, the original number of men is $28$