A and B together can complete a task in 6 days If A alone complete the same task in 10 days how many...........

Quantitative Aptitude (CGL) Time and work

A and B together can complete a task in 6 days. If A alone complete the same task in 10 days, how many days will B take to complete if he works alone?

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Explanation:

A+B, one work= 6 days
A alone = 10 days
So,
Work done by A in 1 day = (1/10)th of the total work.
In 6 days, work done by A = (6/10)th of the total work.
So, work done by B in 6 days = {1-(6/10)}= (4/10)
Work done by B in 1 day = (4/10)*(1/6) = (1/15)th of total work.
So Total work can be done by B in 15 days.