If A can complete a work in 18 days, B in 20 days, and C in 30 days, B and C work together for 2 days and then leave. How many days will A take to complete the remaining work?
- 13 days
- 14 days
- 15 days
- None of these
Explanation
B's 1 day work = 1/20
C's 1 day work = 1/30
(B+C)'s 1 day work = 1/20 + 1/30 = 1/12
(B+C)'s 2 days work = 2 × 1/12 = 1/6
Remaining work = 1 - 1/6 = 5/6
A's 1 day work = 1/18
Time taken by A to complete 5/6 work:
= (5/6) / (1/18)
= 5/6 × 18
= 15 days
Last verified on 04-02-2026
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