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A can do a piece of work in 40 days and ...

A can do a piece of work in 40 days and B in 45 days.They work together for 10 days and then B goes away. In how many days will A finish the remaining work?

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LCM of 45 and 40 is 360. so let the work be of eating 360 chocolates.
A finishes work in 40 days and B in 45 so A eats 9 chocolates per day and B eats 8 chocolates per day.
together they work for 10 days and eat 17 chocolates each day.
total chocolates eaten in 10 days=170.
number of chocolates left=360-170=190
A will eat 190 chocolates in=>`190/9=21.1 days.`
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