A man completes $ \dfrac{5}{8} $ of a job in 10 days. At this rate, how many more days will it takes him to finish the job?
5
6
7
7$ \dfrac{1}{2} $
Explanation:
Work done =$ \dfrac{5}{8} $ |
Balance work =$ \left(1 -\dfrac{5}{8} \right) $=$ \dfrac{3}{8} $ |
Let the required number of days be $ x $.
Then,$ \dfrac{5}{8} $:$ \dfrac{3}{8} $= :: 10 : $ x $ $\Leftrightarrow$ $ \dfrac{5}{8} \times x $ =$ \dfrac{3}{8} \times$ 10 |
$\Rightarrow x $ =$ \left(\dfrac{3}{8} \times 10 \times\dfrac{8}{5} \right) $ |
$\Rightarrow x $ = 6.