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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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