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Question 946814: It takes 40 minutes for 7 people to paint 6 walls.
How many minutes does it take 4 people to paint 3 walls?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the general formula for these types of problem is r * p * t = q
r = rate of work per person
p = number of persons
t = time
q = quantity of work performed.
in this problem, you get:
r = what you want to solve for
p = 7
t = 40 minutes
q = 6 walls
formula becomes r * 7 * 40 = 6
solve for r to get r = 6 / 280
now that you know r, you can solvde for t in the second part of the problem.
you get r = 6/280
p = 4
t = what you want to solve for
q = 3
formula becomes 6/280 * 4 * t = 3
solve for t to get t = (3 * 280) / (4 * 6) = 35
your solution is that t = 35 minutes.
r * p * t = 3 becomes 6/280 * 4 * 35 = 3
simplify to get 3 = 3, confirming the solution is correct.
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