It takes 60 minutes for 7 people to paint 5 walls. How many minutes does it take 10 people to paint | MathCelebrity Forum

It takes 60 minutes for 7 people to paint 5 walls. How many minutes does it take 10 people to paint

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It takes 60 minutes for 7 people to paint 5 walls. How many minutes does it take 10 people to paint 10 walls?

Rate * Time = Output

Let "Rate" (r) be the rate at which one person works.

So we have:
7r * 60 = 5

Multiply through and simplify:
420r = 5

Divide each side by 5 to isolate r:
r = 1/84

So now we want to find out how many minutes it takes 10 people to paint 10 walls using this rate:
10rt = 10

With r = 1/84, we have:
10t/84 = 10

Cross multiply:
10t = 840

To solve for t, we type this equation into our search engine and we get:
t = 84 minutes
 
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