A can complete a job in 9 days, B in 10 days and C in 15 days. B and C start the work and are forced to leave after 2 days. The time taken to complete the remaining work is?

6 days
9 days
10 days
13 days

Correct Answer: 6 days

Explanation:

(B + C)'s 2 day's work = 2 x (1/10 + 1/15) = 1/3
Remaining work = (1 - 1/3) = 2/3
∵ 1/9 work is done by A in 1 day
∴ 2/3 work is done by A in (9 x 2) / 3 = 6 days

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