Practice Test Discussion

A alone can complete a work in 6 days & B alone can complete the same work in 12 days. In how many days can A & B together complete the same work?

[Bank Clerks 2009]

2 days

3 days

4 days

5 days

None of these

Explanation

According to the question,

In 1 day,

work completed by A= $\frac{1}{6}$

work completed by B= $\frac{1}{12}$

Work completed by= $\frac{1}{6} + \frac{1}{12} = \frac{2 + 1}{12} = \frac{3}{12} = \frac{1}{4}$

∴ (A+B) will complete the work in 4 days.

Hence option C is the correct

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