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# A man completes 5/8 of a job in 10 days. At this rate, how many more days will it takes him to finish the job?

Option :

Explanation:

Solution:
$\begin{array}{rl}& \text{Work}\phantom{\rule{thinmathspace}{0ex}}\text{done}=\frac{5}{8}\\ & \text{Balance}\phantom{\rule{thinmathspace}{0ex}}\text{work}=\left(1-\frac{5}{8}\right)=\frac{3}{8}\\ & \text{Let}\phantom{\rule{thinmathspace}{0ex}}\text{the}\phantom{\rule{thinmathspace}{0ex}}\text{required}\phantom{\rule{thinmathspace}{0ex}}\text{number}\phantom{\rule{thinmathspace}{0ex}}\text{of}\phantom{\rule{thinmathspace}{0ex}}\text{days}\phantom{\rule{thinmathspace}{0ex}}\text{be}\phantom{\rule{thinmathspace}{0ex}}x\\ & \text{Then},\phantom{\rule{thinmathspace}{0ex}}\frac{5}{8}:\frac{3}{8}=::10:x\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}⇔\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}\frac{5}{8}×x=\frac{3}{8}×10\\ & ⇒x=\left(\frac{3}{8}×10×\frac{8}{5}\right)\\ & ⇒x=6\end{array}$