A and B together can complete a work in 8 days. A alone can complete it in 16 days. If B works at 50 percent efficiency, then in how many days A and B together will complete the work?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 32/3 days.
A and B together can complete a work in 8 days. A alone can complete it in 16 days
L.C.M(8 and 16) = 16
The efficiency of A and B together = 16/8 = 2 units
The efficiency of A = 16/16 = 1 unit
So, The efficiency of B = 2 - 1 = 1 unit
B works with 50% efficiency = 1/2 = 0.5 units
Time taken = 16/(0.5 + 1) = 16/1.5 = 160/15 = 32/3 days