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?

Answer 1

Number of days Rajan required do a piece of work : 24

Number of days Amit required do a piece of work : 30

Work done by Rajan in one day: \(\frac{1}{24}\)

Work done by Amit in one day: \(\frac{1}{30}\)

Work done by Rajan and Amit together in one day: \(\frac{1}{24}+\frac{1}{30}=\frac{54}{720}=\frac{3}{40}\)

∴ They can do the work together in \(\frac{40}{3}\) days = \(13\frac{1}{3}\) days