SOLUTION: 8 people require 10 hours to complete a job. How many hours will it take 5 people to complete half the job, if they work at the same rate?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 8 people require 10 hours to complete a job. How many hours will it take 5 people to complete half the job, if they work at the same rate?      Log On


   



Question 891755: 8 people require 10 hours to complete a job. How many hours will it take 5 people to complete half the job, if they work at the same rate?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
8 people require 10 hours to complete a job.
-------------------
1 person will take 8 times as long to do the same job, so
1 person takes 80 hours to complete the job
-------------------
5 people will take 1/5 that time to do the same job, so
5 people take 16 hours to complete the job
-------------------
5 people take 1/2 that time to do 1/2 of the job, so
5 people take 8 hours to do 1/2 of a job