Debel completes his work in $\frac{7}{9}$ days. Arun takes $\frac{3}{2}$ times more time than Debel to finish his work. Find the number of days that Arun needs to complete his work.

Given :

Debel completes his work in  $\frac{7}{9}$ days. 

Arun takes $\frac{3}{2}$ times more time than Debal to finish his work.

To do :

We have to find the number of days that Arun needs to complete his work.

Solution :

Arun takes $\frac{3}{2}$ times more time than Debal to finish his work.

Time taken by Arun $= \frac{3}{2} (\frac{7}{9}) days + \frac{7}{9} days$

                                     $=\frac{7}{9}(\frac{3}{2} + 1) days $

                                    $= \frac{7}{9} \times \frac{(3+2)}{2} days$

                                    $= \frac{(7\times 5)}{(9\times 2)} days$

                                    $= \frac{35}{18} days$.

Arun needs  $\frac{35}{18}$ days to complete his work.

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Updated on: 10-Oct-2022

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