Time Work

A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at the end of the 12th day. How many men were there at the beginning?

  1. 80
  2. 90
  3. 165
  4. 175

Answer

If x men were there on day one, there would be (x - 110) men on the 12th day.

Hence, on an average there were (x - 55) men.

The job takes 3/2 times the normal time.

Hence, the average number of people = 2/3

x - 55 = 2x/3

Hence, x = 165

The correct option is C.