A road of 5 m length will be constructed in 100 days. So, 280 workers were employed. But after 80 days it was found that only $${\text{3}}\frac{1}{2}$$ km road was completed. Now how many more people were need to finish the work in the specified time ?

A. 480

B. 80

C. 200

D. 100

Answer: Option C

Solution(By Examveda Team)

Let 'n' more number of man are required to complete the job in 20 day.
$$\frac{{{{80}_{{\text{days}}}} \times {\text{28}}{{\text{0}}_{{\text{worker}}}}}}{{{\text{3}}{\text{.5 km}}}} = $$     $$\frac{{{{\left( {{\text{280}} + {\text{n}}} \right)}_{{\text{worker}}}} \times {\text{2}}{{\text{0}}_{{\text{days}}}}}}{{{\text{1}}{\text{.5 km}}}}$$
$$\eqalign{ & {\text{After solving:}} \cr & \Rightarrow 480 = 280 + {\text{n}} \cr & \Rightarrow {\text{n}} = 200 \cr} $$