Anil can do a piece of work in 5 days and Ankur in 4 days. How long wi

1.	Anil can do a piece of work in 5 days and Ankur in 4 days. How long will they will do the same work, if they work together?
Answer» Given, Anil can do a piece of work in 5 days Work done by him in 1 day \(=\frac{1}{5}\) Ankur can do same work in 4 days Work done by Ankur in 1 day \(=\frac{1}{4}\) ∵ Work done by both in 1 day \(=\frac{1}{5}+\frac{1}{4}=\frac{9}{20}\) ∴ Total work done in \(=\frac{20}{9}={2}\frac{2}{9}\) days.

Anil can do a piece of work in 5 days and Ankur in 4 days. How long will they will do the same work, if they work together?

Answer»

Given,

Anil can do a piece of work in 5 days

Work done by him in 1 day \(=\frac{1}{5}\)

Ankur can do same work in 4 days

Work done by Ankur in 1 day \(=\frac{1}{4}\)

∵ Work done by both in 1 day \(=\frac{1}{5}+\frac{1}{4}=\frac{9}{20}\)

∴ Total work done in \(=\frac{20}{9}={2}\frac{2}{9}\) days.