Q22
An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. After 100 days, he finds 2.5 km of the road has been completed. Find the (approx.) number of extra men he must employ to finish the work in time.
A.
43
B.
45
C.
55
D.
68
AnswerE.
60
Answer: Option D
Solution
Answer: Option D
Solution:
Variation Method:In 100 days only 2.5 km road i.e. 16.66 % of work has been completed
| Men | Days | Road (km) |
| 45 | 100↓ | 2.5 |
| x↑ | 200 | 12.5↑ |
Arrows show the directions of variation of quantity with respect to each other
x = 113 men;
Required men to be increased,
= 113 - 45
= 68