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Multiple Choice Questions

A does half as much work as B does in one sixth of the time If together they take 20 days to complet...........

Quantitative Aptitude (SBI-CL) Time and work

A does half as much work as B does in one sixth of the time. If together they take 20 days to complete the work, then what is the time taken by A to complete the work independently.

80/3 days

100/3 days

60/3 days

140/3 days

Explanation:

Let B complete the work in X days so in one day work done by B is 1/x
as A do half work in one-sixth of the time so A will complete work in 2*x/6 = x/3 days
One day work of A and B i.e. 3/x + 1/x = 1/20. So we get x = 80
So time taken by A alone = 80/3 days

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