A and B can complete a work in 18 days and 27 days, respectively. They start working together and after 8 days, A leaves. In how many days B complete the remaining work?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 7.
A and B can complete a work in 18 days and 27 days, respectively
L.C.M(18 and, 27) = 54
The efficiency of A = 54/18 = 3 units
The efficiency of B = 54/27 = 2 units
They worked for 8 days = 5 × 8 = 40
Remaining work = 54 - 40 = 14 units
Time taken by B to complete the work = 14/2 = 7 days