A can complete a work in 15 days and B in 18 days. A works for 5 days, then B completes the rest. How many days does B take to complete the remaining work?

10 days
12 days
15 days
18 days

Correct answer: 12 days

Solution

A's 1-day work is $1/15$, so in 5 days A completes $5/15 = 1/3$ of the work. Remaining work is $2/3$, and B's rate is $1/18$ per day, so time taken by B is $(2/3) \div (1/18) = 12$ days.

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