A contract is to be completed in 50 days and 105 men were set to work, each working 8 hour a day. After 25 days, 2/5th of the work is finished. How many additional men should be employed so that the work may be completed on time, each man now working 9 hour a day?
1). 34
2). 36
3). 35
4). 37
Let the work to be finished be W units.
Let’s assume that the work finished by one man in one hour is M units.
⇒ 2W/5 = 105M × 25 × 8
⇒ W = 52500M
To complete the remaining work, let the additional number of men be X. The time remaining is 25 days.
⇒ 3W/5 = (105 + X) M × 25 × 9
⇒ 52500 = 375X + 39375
⇒ X = 35