Question : A and B together complete a work in 20 days, B and C together complete the same work in 30 days, and C and A together complete the same work in 24 days. In how many days A, B, and C together can complete the same work?
Option 1: 8 days
Option 2: 16 days
Option 3: 12 days
Option 4: 15 days
Correct Answer: 16 days
Solution :
Given: A and B can do a piece of work in 20 days. B and C can do it in 30 days, and A and C can do it in 24 days.
We know,
If a man can do the work in
(A + B)'s 1 day's work is
(B + C)'s 1 day's work is
(A + C)'s 1 day's work is
Adding the above three equations we get,
2(A + B + C)'s 1 day's work =
⇒ (A + B + C)'s 1 day's work
Hence, the correct answer is 16 days.
