#### Question

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

#### Solution

\[\text{ Time taken by Anil to do the work = 5 days } \]

\[\text{ Time taken by Ankur to do the work = 4 days } \]

\[ \therefore \text{ Work done by Anil in 1 day } = \frac{1}{5}\]

\[\text{ Work done by Ankur in 1 day } = \frac{1}{4}\]

\[ \therefore \text{ Work done by Anil and Ankur in one day } = \frac{1}{5} + \frac{1}{4}\]

\[ = \frac{4 + 5}{20} = \frac{9}{20}\]

\[\text{ Thus, Anil and Ankur can do the work in } \frac{20}{9} \text{ days i } . e . 2\frac{2}{9} \text{ days } \]

Is there an error in this question or solution?

Solution Anil can do a piece of work in 5 days and Ankur in 4 days. How long will they take to do the same work, if they work together? Concept: Time and Work.