Question

A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start
the work together but C leaves 4 days before the completion of the work. In how
many days is the work done?
A. 15 days
B. 14 daysC. 13 days
D. 11 days

Answer 1

work is done in 15 days

Answer 2

Answer:

D) 11 days

Step-by-step explanation:

It is given that:

• A, B and C can do a piece of work in 24, 30 and 40 days respectively.
• C leaves 4 days before the completion of the work.

Let x be the number of days the work is done in.

From the givens:

$\frac{x}{24}+\frac{x}{30}+\frac{x-4}{40}=1\\ \\ \frac{5x+4x+3(x-4)}{120}=1\\ \\ 12x-12=120\\x=11$ days.