A can do a work in 18 days, B in 27 days. They start together, but after 6 days A leaves. In how many more days will B finish the remaining work?
Show answer & explanation
Correct answer: C
Explanation
Given:
A completes the work in 18 days
B completes the work in 27 days
They both work together for 6 days
A's daily work rate = 1/18
B's daily work rate = 1/27
Combined work rate of both = 1/18 + 1/27 = 5/54
Work done in 6 days = 6 × 5/54 = 5/9
Remaining work = 1 − 5/9 = 4/9
Now B will work alone
Time = (4/9) ÷ (1/27)
= (4/9) × 27 = 12 days