Question : A civil contractor planned to build an over bridge of 3 km distance in 600 days. For this purpose, he employed 90 workers. After 200 days of work, it was observed that only 0.5 km of the bridge was completed. What is the number of extra workers required to complete the work on time?
Option 1: 100
Option 2: 140
Option 3: 125
Option 4: 135
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Correct Answer: 135
Solution :
$\frac{M1D1}{W1}$ = $\frac{M2D2}{W2}$ [where $M$ = number of men, $D$ = number of days, $W$ = work done]
⇒ $\frac{90×200}{0.5}$ = $\frac{M×400}{2.5}$
⇒ M = 90 × 2.5 = 225
So, the extra men to be employed = 225 – 90 = 135
Hence, the correct answer is 135.
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