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Question
A can-do `1/4` of work in 5 days and B can do `1/3` of the same work in 10 days. Find the number of days in which both working together will complete the work.
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Solution
A can-do `1/4` of work in = 5 days
A can-do 1 work in = 5 × 4 days
= 20 days
B can do `1/3` of work in = 10 days
B can do 1 work in = 10 × 3 days
= 30 days
A's 1-day work =`1/20`
B's 1-day work =`1/30`
(A+B)'s 1 day work =`1/20+1/30`
`=(3+2)/60`
`=5/60`
`=1/12`
∴ A and B working together will complete the work in = 12 days
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