Single correct option
A can complete a piece of work in 18 days and C can complete it in 24 days. They work together for 6 days, after which A leaves. In how many more days will C alone finish the remaining work?
- A. 8 days
- B. 9 days
- C. 10 days
- D. 12 days
Show answer and solution
Answer: (C) 10 days
A's rate = 1/18, C's rate = 1/24 per day. Together, work done in 6 days = 6×(1/18+1/24) = 6×(4/72+3/72) = 6×(7/72) = 7/12. Remaining work = 1 − 7/12 = 5/12. C alone takes (5/12) ÷ (1/24) = 10 days to finish the remaining work.
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