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A contractor undertakes to make a road in 40 days and...

This question belongs to Arithmetic Ability Time And Work
Time and Work
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A contractor undertakes to make a road in 40 days and employs 25 men. After 24 days, he finds that only one-third of the road is made. How many extra men should he employ so that he is able to complete the work 4 days earlier ?

Answer & Solution
Correct Answer: Option C
$$\eqalign{ & {\text{Let additional men be }}x \cr & \frac{{25 \times 24}}{{{\text{Work}} \to \frac{1}{3}}} = \frac{{\left( {25 + x} \right) \times 12}}{{\frac{2}{3}\left( {{\text{Remaining work 1}} - \frac{1}{3}} \right)}} \cr & \Rightarrow x = 75 \cr} $$
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