The ratio of capacities of A and B to do a work is 3:2. If they together can complete a work in 182 days, then how long does A take to complete the work alone?
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Step-by-step explanation:
It is given that ratio of the capacity to do work of a and b is 3 : 2.
They together can complete the the work in 182 days.
Let the efficiency of a and b are 3x and 2x respectively.
The sum of their efficiency is 5x = 182
Total work is x = 180/5 =36.4
The efficiency of a is 3x and the total work is 109.3
Therefore A can complete the work alone is 109 days
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