Question

15. X number of men can finish a piece of work in 30
days. If there were 6 men more, the work could be
finished in 10 days less. What is the original number
of men?
(a) 10
(b) 11 (c) 12 (d) 15
(e) 13​​

Answer 1

$answer$

Answer is c) 12 is correct.

Answer 2

Answer:

X number of men can finish a piece of work in 30 days. ==> Total work = 30X Men days. -- (1)

If there were 6 men more, the work could be finished in 10 days less. ==> Total work = (X+6)*20 days -- (2)

By (1) and (2) we have:

30X = (X+6)*20 => 10X = 120 => X = 12 men.