Question
A, B can do a piece of work in 30 days , while B can C 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 to finish the work ?
Answer: Option A
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2(A + B + C)'s 1 day's work = `(1/30 + 1/24 + 1/20) = 15/120 = 1/8`
`rArr `(A + B + C)'s 1 day's work = `1/16`
Work done by A, B and 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 xx 3/8)` = 18 days.
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