A alone can do a work in 24 days. B alone can do the same work in 36 days. B alone started the work and worked for 18 days. In how many days A alone can finish the remaining work?
Show answer & explanation
Correct answer: D
Explanation
Given:
A = 24 days, B = 36 days
B worked for 18 days
According to the formula:
Work Rate = 1 / Time
B's Rate = 1/36
Work done in 18 days = 18/36 = 1/2
Remaining work = 1 − 1/2 = 1/2
A's Rate = 1/24
Time = (1/2) / (1/24) = 1/2 × 24 = 12 days