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 A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take t

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 A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take t

A). 6 days

B). 12 days

C). 18 days

D). 24 days


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18 days



2(A + B + C)'s 1 day's work = ( 1/30 + 1/24 + 120 ) = 15/120 = 1/8 .

Therefore, (A + B + C)'s 1 day's work = 1/2*8 = 1/16 .

Work done by A, B, C in 10 days = 10/16 = 5/8 .

Remaining work = ( 1 - 5/8 ) = 3/8 .

A's 1 day's work = ( 1/16 - 1/24 ) = 1/48 .

Now, 1/48 work is done by A in 1 day.

So, 3/8 work will be done by A in ( 48 x 3/8 ) = 18 days.

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