A and B can complete a work in 18 days and 36 days respectively. They work together for 8 days and then A leaves. How many days will B take to complete the rest of the work?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 12 days.
A and B can complete a work in 18 days and 36 days respectively
L.C.M(18 and 36) = 36
The efficiency of A = 36/18 = 2 units
The efficiency of B = 36/36 = 1 unit
They work together for 8 days = 8 × 3 = 24 units
Remaining work = 36 - 24 = 12 units
Now,
B will complete the remaining work = 12/1 = 12 days