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Multiple Choice Questions

A amp B can do a piece of work in 72 days B amp C can do it in 120 days A amp C can do it in 90 days...........

Quantitative Aptitude(Banking) Time and work

A & B can do a piece of work in 72 days, B & C can do it in 120 days. A & C can do it in 90 days. In how many days all the three together can do the work?

80 days

100 days

60 days

150 days

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Explanation:

(A + B)’s one day’s work $= \frac{1}{72}$
(B + C)’s one day’s work $= \frac{1}{120}$
and (C + A)’s one day’s work $= \frac{1}{90}$
On adding all three,
2 (A + B + C)’s one day’s work $= \frac{1}{72}+ \frac{1}{120}+ \frac{1}{90}$
$= \frac{5+3+4}{360} = \frac{1}{30}$
∴ (A + B + C)’s one day’s work $= \frac{1}{60}$