top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration Why to Join

    Get Free Puzzle Updates

Facebook Login
Site Registration

Contractor took a job to be done in 20 days. But 12 men did not come up and was finished by remaining man in 32 days.

0 votes

A contractor took a job for his group to do in 20 days. But 12 men did not come up for the job and job was done by remaining man in 32 days. What was the original size of the contractor’s team?

posted Nov 17, 2016 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

2 Answers

0 votes

If the initial workforce = N. It's given that N people completed 1 job in 20 days and (N-12) people completed the same job in 32 days.
Work speed of N people = (1 job / 20 days)=(1/20)
Work speed of a person = (1 job / (20 days*N))=(1/(20*N))
Work speed of 12 people = (1 job / 20 days)*(12/N) =12/(20*N)
Work speed of (N-12) people = (1/20)-(12/(20*N)) = 1/32
Rearranging for N gives N = 32.
That means the initial workforce consisted of 32 people.

answer Nov 19, 2016 by Tejas Naik
0 votes


answer Nov 20, 2016 by Subhash Gupta

Similar Puzzles
0 votes

8 woman and 12 men complete a certain piece of work in 9 days. Each woman takes twice the time taken by a man to finish the work. In how many days will 12 men finish the same work

+1 vote

If 9 boy working 15/2 hours a day can finish a work in 20 days, then how many days will be taken by 12 boy working 6 hours a day to finish the work, it being given than 3 boy of latter type work as much as 2 boy of he former type in the same.

+1 vote

If 6 men and 8 women can do a piece of work in 10 days and 4 men and 7 women can do it in 12 days, how many days will 4 men and 12 women take to do half of work?

+1 vote

If A men working A hours a day can do A units of a work in A days, then how many units of work can be completed by B men working B hours per day.

Contact Us
+91 9880187415
#280, 3rd floor, 5th Main
6th Sector, HSR Layout
Karnataka INDIA.