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Question
Choose the most appropriate option
‘A’ and ‘B’ complete a work in 12 days, ‘B’ and ‘C’ in 8 days and ‘C’ and ‘A’ in 16 days. ‘A’ left after working for 3 days. In how many days more will ‘B’ and ‘C’ finish the remaining work?
Options
`3 3/4`
`4 3/4`
`6 5/6`
`7 3/4`
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Solution
`4 3/4`
Explanation:
A, B, and C together can do work in
`=(2xx12xx8xx16)/(12xx8+8xx16+16xx12)`
`=96/13` days
Work is done by all in 3 days`=13/96xx3=39/96`
∴ Remaining work`=1-39/96=57/96`, which is to done by B and C.
∴ B and C can do the remaining work in `57/96xx8`
∴`57/12=4 3/4` days.
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