Question 101

A man completes $$\frac{4}{5}th$$ of the work in $$1\frac{1}{2}$$ days. The number of hours required to complete the remaining work by him is

Solution
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The speed of doing work is assumed to be constant. Hence, direct variation concept is applicable here. 

$$\frac{\left(Time\ to\ complete\ \left(\frac{4}{5}\right)th\ work\right)}{Time\ to\ complete\ \left(\frac{1}{5}\right)th\ work\ }=\frac{\left(1.5\ days\right)}{x\ }$$

Hence, x = (3/8)th day = 3*24/8 hours = 9 hours

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