Question : A can do a piece of work alone in 40 days. A and B together can do the same work in 10 days. C is 50% less efficient than B. In how many days can A and C together complete the same work?
Option 1: 20 days
Option 2: 24 days
Option 3: 16 days
Option 4: 12 days
Correct Answer: 16 days
Solution :
According to the question
(A + B)'s 1 day work =
A's 1 day work =
⇒ B's 1 day work =
Now, C's 1 day work =
⇒ (A + C)'s 1 day work =
⇒ Time taken by A and C together =
Hence, the correct answer is 16 days.