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Question
A can finish a piece of work in 15 days and B can do it in 10 days. They worked together for 2 days and then B goes away. In how many days will A finish the remaining work?
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Solution
A can finish a piece of work in = 15 days
B can finish a piece of work in = 10 days
∴ A's 1 day work =`1/15`
B's 1-day work =`1/10`
(A+B)'s 1-day work =`1/15+1/10`
`=(2+3)/30=5/30=1/6`
(A+B)'s 2 days work =`1/6xx2=1/3`
Remaining work which will be done by A alone
`=1-1/3=(3-1)/3=2/3`
∴ A can finish 1 work in = 15 days
A can finish `2/3` work in =`15xx2/3` days
`=30/3`days = 10 days
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