All members of our painting team paint at the same rate. If $10$ members can paint a $1000$ square foot wall in $10$ minutes, then how long would it take for $5$ members to paint a $1000$ square foot wall, in minutes?

booboo44 Jun 10, 2024

#2**0 **

Let's find the rate for each person. You can do this by using the formula "work = (rate)(time)(number of people). Plugging in we get:

\(1000 = r(10)(10)\)

\(\frac{1000}{100}=r\)

\(r = 10\)

Now we can use the rate to find out the time in the second equation.

\(1000 = 10(t)(5)\)

\(\frac{1000}{50} = t\)

\(\mathbf{t = 20}\)

Therefore, it would take **20 minutes** for 5 members to paint a 1000 square foot wall.

Maxematics Jun 11, 2024