96 men can complete a work in 40 days. They all worked for 10 days. But to finish the work before time, contractor brought N more men to work. Because of this, the work got finished in a total of 34 days. What is the value of N?
1). 16
2). 20
3). 24
4). 27
The total number of man-days will be same in both the cases.
⇒ 96 × 40 = 96 × 10 + (96 + N) × (34 – 10)
⇒ 3840 = 960 + 2304 + 24N
⇒ N = 576/24 = 24