हिंदी

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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प्रश्न

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? 

योग
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उत्तर

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 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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