A can do a work in 12 days and B in 16 days. They work together for 4 days, then A leaves. In how many more days will B finish the work?
Show answer & explanation
Correct answer: B
Explanation
Given:
A works = 12 days
B works = 16 days
Both work together = 4 days
A's rate per day = 1/12
B's rate per day = 1/16
Together, work for one day = 1/12 + 1/16 = 7/48
Work done in 4 days = 4 × (7/48) = 7/12
Remaining work = 1 − 7/12 = 5/12
B's rate per day = 1/16
Time = (5/12) ÷ (1/16) = 20/3
B will complete the remaining work in 6⅔ days.