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

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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AP ICET 2014

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

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