Rajan can do a piece of work in 24 days while Amit can do it in 30 day

1.	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» 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

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»

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