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A can do a piece of work in 25 days and ...

A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A goes away. In how many days will B finish the remaining work ?

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`A=1/25` and `B=1/20`
for one day work
when both work together
`(A+B)= (1/20)+(1/25)`
`=(1xx5 +1xx4)/(100)`
`=(9/100)`
for 5 days
`=(9)/(100)xx5`
`=(45)/(100)`
For remaining work
`(1-(45)/(100))`
`(55)/(100)`
`11/20`
Let, B takes x days to complete it.
`1/20xxx=55/100`
`x=(55xx20)/100`
`x=11`
B completes remaining work in 11 days.
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