SOLUTION: The time taken for a team of 8 workers to paint a building is 20 days. A similar building needs painting but must be completed within 15 days. What will be the minimum number of wo

Algebra ->  Rate-of-work-word-problems -> SOLUTION: The time taken for a team of 8 workers to paint a building is 20 days. A similar building needs painting but must be completed within 15 days. What will be the minimum number of wo      Log On


   

Question 860560: The time taken for a team of 8 workers to paint a building is 20 days. A similar building needs painting but must be completed within 15 days. What will be the minimum number of workers needed to complete the task in the given time?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
By "similar" you really mean, "congruent", so same size and shape.

The rate for 1 worker in the first described group is 1 "paint the building" in 20%2A8=160 days.

For a group of n workers, the work rate of this group is n%281%2F160%29 jobs per day. The basic idea of uniform rates for task completion or doing a job is R*t=j for Rate, time, job. Your question simply becomes highlight%28highlight%28%28n%2F160%2915=1%29%29, using units of days and job. n is the count of the workers needed in the group, and unknown which easily is solvable.