Question
Sanjay and Amit can do a piece of work in 8 days. Amit
alone can do it in 12 days. In how many days will Sanjay do it alone?Solution
ATQ, we can say that Let the efficiency of Sanjay and Amit be a and b respectively. Let the total work be 24 units. Efficiency of Sanjay and Amit together = a + b = 24/8 a + b = 3 units/day----(i) Efficiency of Amit = b = 24/12 b = 2 units/day----(ii) Efficiency of Sanjay = a = 3 - b a = 3 - 2 a = 1 unit/day Time to complete the whole work by Sanjay alone = 24/1 = 24 days ∴ Sanjay alone can do the whole work in 24 days.
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