Practice Test Discussion

A and B together can do a piece of work in 5 days and 'A' alone can do it in 8 days. 'B' alone can do same piece of work in

$1 \frac{1}{3}$ days

$12 \frac{3}{5}$ days

$13 \frac{1}{3}$ days

$16 \frac{4}{3}$ days

None of these

Explanation

According to the question,

In 1 day,

(A+B) together can complete $\frac{1}{5}$ ^th of the work

A can complete $\frac{1}{8}$ ^thof the work

So B alone can complete $= \frac{1}{5} - \frac{1}{8} = \frac{8 - 5}{40} = \frac{3}{40}$ of the work

∴B alone will complete the work in $= \frac{40}{3} o r 13 \frac{1}{3} d a y s$

Hence option C is the correct.

For more Short tricks and formulae click

- Share with your friends! -

Comments