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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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