Question
A can cultivate 3/5th of the land in 15 days
and B can cultivate 1/4th of the land in 10 days. In how many days working together A and B can cultivate 13/25th of the land?Solution
3/5th of the land is cultivated by A in 15 days Whole land is cultivated by A in = `(15xx5/3)` = 25 days 1/4th of the land is cultivated by B in 10 days Whole land is cultivated by B in (10 × 4) days = 40 days (A + B)’s 1 day’s work = `(1/25+1/40)=((8+5)/(200))=13/200` days Whole land is cultivated by both in `200/13` days. 13/25th land is cultivated by both in = `(200/13xx13/25)` = 8 days
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