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Question
A, B, and C can do a piece of work in 6 days, 12 days, and 24 days respectively. In what time will they altogether do it?
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Solution
A can do a piece of work in = 6 days
B can do a piece of work in = 12 days
C can do a piece of work in = 24 days
∴ A's 1-day work =`1/6`
∴ B's 1-day work = `1/12`
∴ C's 1-day work = `1/24`
(A+B+C)'s 1-day work =`1/6+1/12+1/24`
`=(4+2+1)/24=7/24`
∴ (A+B+C) can do the work in =`24/7` days
`=3 3/7` days
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