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Quantitative Aptitude

Time & Work

Rajan can do ...

Question

Rajan can do a piece of work in 24 days while Amit can do it in 30 days. In how many days can they complete it, if they work together?

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Solution

Work done by Rajan in 1 day $= \frac{1}{24}$
Work done by Amit in 1 day $= \frac{1}{30}$
Work done by Amit and Rajan together in 1 day $= \frac{1}{24} + \frac{1}{30} = \frac{54}{720} = \frac{3}{40}$
$∴$ They can complete the work in $\frac{40}{3}$ days, i.e., $13 \frac{1}{3}$ days if they work together.

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Rajan can do a piece of work in 24 days while Amit can do it in 30 days. In how many days can they complete it, if they work together?

Work done by Rajan in 1 day =124Work done by Amit in 1 day =130Work done by Amit and Rajan together in 1 day =124+130=54720=340∴ They can complete the work in 403 days, i.e., 1313 days if they work together.