A and B can do a piece of work in 8 days and B alone can do the same work in 16 days. In how many days can A alone do the same work?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e.16 days.
Given that
A and B can do a piece of work in 8 days and B alone can do it in 16 days.
Total work (LCM of 8, 16) = 16
The combined efficiency of A and B = 16/8 = 2
The efficiency of B = 16/16 = 1
So, the efficiency of A = 2 - 1 = 1
Hence, the time taken by A to do the work alone = 16/1 = 16 days