Answer:
Step-by-step explanation:
Assuming each person gets the same amount of work done, each wall in the first scenario takes 8 minutes to paint. If 3 people paint 4 walls, then each person is painting 1 1/3 of a wall. We can use that to find out how long it takes one person to paint 1 1/3 walls:
[tex]\frac{8min}{wall}*\frac{4}{3}walls=\frac{32}{3}min[/tex]. Interpreting that, it takes each person 10 2/3 minutes to paint 1 1/3 walls.
If 4 people paint 7 walls, that means that each person is painting 7/4 walls, or 1.75 walls each. Using the fact that it takes 10.66666 minutes to paint 1.33333 walls, we can find out how many minutes it will take to paint 1.75 walls:
[tex]\frac{10.6666}{1.33333}=\frac{x}{1.75}[/tex] Cross multiply to get
18.666655 = 1.3333x so
x = 14.000 minutes
