1)

A certain number of men completed 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 ?


A) 32

B) 36

C) 40

D) 50

E) 60

Answer:

Option C

Explanation:

Suppose total number of men $=x$

$x$ men can work a job in $60$ days 

$x$ men can work $\frac{1}{60}$ job in $1$ day 

$1$ man can work $\frac{1}{60x}$ in 1 day ------(1) 

$x+8$ can do the same job in $50$ days

Similarly, $1$ man can do $\frac{1}{50(x+8)}$ job in $1$ day ------(2) 

from (1) and (2), $\frac{1}{60x}$ $=\frac{1}{50(x+8)}$ 

Solving the equation, $x$ = 40 men.