Three people A, B and C can do a job alone in 2 days, 3 days and 6 days respectively. In how many days they can finish the job working together?

1 day

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2 days

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3 days

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6 days

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Solution

The correct option is A 1 day
Given, A, B and C can do a job alone in 2 days, 3 days and 6 days respectively.

Hence, the amount of work that can be done in a day by A, B and C are $\frac{1}{2}, \frac{1}{3}$ and $\frac{1}{6}$ respectively.

One day worth of work that can be done if they work together is
$= (\frac{1}{2} + \frac{1}{3} + \frac{1}{6}) = \frac{6}{6} = 1$

$∴$ The time required to complete the job is 1 day.

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