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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

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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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