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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?
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- 100
- 60
- 75
- None of these
Correct Option: C
Scheduled time to complete the work = 40 days
| 25 men in 24 days do | work | 3 |
∴ 1 man in 1 day does
| = | work. | |||
| 3 × 25 × 24 | 1800 |
Work remaining
| = 1 - | = | |||
| 3 | 3 |
The work is to be completed 4 days before schedule i.e., in (40 – 4) 36 days
| No. of days left for | rd work | 3 |
= 36 – 24 = 12 days
| 1800 |
work is done in 1 day by 1 man.
| ∴ | work will be done in 12 days by | 3 |
| 1800 × | × | = 100 men | ||
| 3 | 12 |
25 men are already working
∴ Extra men to be employed
= 100 – 25 = 75
