A B and C can do a job in 6 days 12 days and 15 days respectively After 1 8 of the work is completed...........

Quant (SSC) Time and work

A, B and C can do a job in 6 days, 12 days and 15 days respectively. After 1/8 of the work is completed, C leaves the job. Rest of the work is done by A and B together. Time taken to finish the work is

5 5/6 days

5 1/4 days

3 1/2 days

3 3/4 days

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Explanation:

Remaining work
1 - 1/8 = 7/8
Work done by A and B in one day
1/6 + 1/12 = 1/4
∴ Time taken by A & and to finish 7/8 part of work
= 7/8 x 4 = 7/2 = 3 1/2 days