SOLUTION: It takes 4 hours for 5 painters to paint a house. How long would it take for 9 painters to do the job? Please help me out here!

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Question 736834: It takes 4 hours for 5 painters to paint a house. How long would it take for 9 painters to do the job?
Please help me out here!

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The rate for the question can be based upon the work rate of 1 man.

If 5 painters need 4 hours to "paint a house", then how much time does 1 painter alone need? Five times longer! This means 1 painter needs 4%2A5=20 hours to paint a house.

Thinking of "paint a house" as the ONE JOB, one painter functions at the rate of 1 job per 20 hours, or 1%2F20 jobs per hour.

Now, these uniform work rate situations are characterised as r*t=j, where r is rate in jobs per hour, t is hours, j is amount of jobs. When agents operate simultaneously, the rates are additive.

Can you complete the rest of the problem exercise?