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# 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? - Mathematics

Course
ConceptTime and Work

#### 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

$\text{ Time taken by Anil to do the work = 5 days }$
$\text{ Time taken by Ankur to do the work = 4 days }$
$\therefore \text{ Work done by Anil in 1 day } = \frac{1}{5}$
$\text{ Work done by Ankur in 1 day } = \frac{1}{4}$
$\therefore \text{ Work done by Anil and Ankur in one day } = \frac{1}{5} + \frac{1}{4}$
$= \frac{4 + 5}{20} = \frac{9}{20}$
$\text{ Thus, Anil and Ankur can do the work in } \frac{20}{9} \text{ days i } . e . 2\frac{2}{9} \text{ days }$

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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.
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