SOLUTION: 18 workers can paint square feet of walls in 8 hours. What area of one wall can be painted by 25 workers in 6 hours?

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Question 1059416: 18 workers can paint square feet of walls in 8 hours. What area of one wall can be painted by 25 workers in 6 hours?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
HOW MANY square feet? Not in the description, so if assume the 18 workers in 8 hours will paint some p square feet of wall area, then you can just use this variable.

BASIC RULE: J/T=R, or jobs per time is a constant, R. J for amount of job, T for amount of time. Easily rewrite as RT=J.
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If some n workers are acting together, then rate is nR.

Let r be rate of one worker.
Let x be the amount of area for the 25 workers to do in 6 hours.
Assume that p is KNOWN, but as asked, x is UNKNOWN.


system%2818r%2A8=p%2C25r%2A6=x%29
Solve this system for x.

First equation gives you r=p%2F%2818%2A8%29; substitute into the second equation.

x=25%28p%2F%2818%2A8%29%29%2A6

x=%2825%2A6%2Ap%29%2F%2818%2A8%29

x=%2825p%29%2F%283%2A8%29

highlight%28x=25p%2F24%29, square feet of area. If you want a finished value, you need to be given what is p. Here, it is still a variable.