SOLUTION: if 4 men can paint 50 doors in 3 days how long will it take 6 men to paint 80 doors?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: if 4 men can paint 50 doors in 3 days how long will it take 6 men to paint 80 doors?      Log On


   

Question 992300: if 4 men can paint 50 doors in 3 days how long will it take 6 men to paint 80 doors?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
r, rate for one man
t, how long for the question

system%284r%2A3=50%2C6r%2At=80%29


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RT=W shows how to relate rate, time, and amount of work. The rate depends on how many agents are working on the same job or task, so if one agent works at r units per time, then two agents have a rate r+r=2r units per time; five agents working together have rate r+r+r+r+r=5r units per time; and n agents together work at a rate nr units per time.

4 men can paint 50 doors in 3 days
4r%2A3=50, and r is the rate for 1 man.

how long will it take 6 men to paint 80 doors?
6r%2At=80, and here, t is the unknown amount of time for this part of the description, or question.

The whole description translated into equations give a system of equations, and the system can be solved.