Practice Test Discussion

A can complete a piece of work in 18 days and B can complete the same work in half time taken by A. Then, working together, what part of the same work they can complete in a day?

$\frac{1}{6}$ ^thpart

$\frac{1}{9}$ ^thpart

$\frac{2}{7}$ ^th part

$\frac{2}{9}$ ^thpart

$\frac{2}{5}$ ^thpart

Explanation

According to the question,

In 1 day,

A can complete $\frac{1}{18}$ ^th of the work

B can complete $\frac{1}{9}$ ^th of the work

(A+B) together can complete $= \frac{1}{9} + \frac{1}{18} = \frac{3}{18} = \frac{1}{6}$ ^th of the work

Hence option A is the correct.

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