SOLUTION: one painter can paint 2 rooms in 90 minutes. if there are 50 rooms how many painters are needed to paint all rooms in 7.5 hours.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: one painter can paint 2 rooms in 90 minutes. if there are 50 rooms how many painters are needed to paint all rooms in 7.5 hours.      Log On


   



Question 358183: one painter can paint 2 rooms in 90 minutes. if there are 50 rooms how many painters are needed to paint all rooms in 7.5 hours.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
one painter can paint 2 rooms in 90 minutes. if there are 50 rooms how many
painters are needed to paint all rooms in 7.5 hours.
1 painter's rate = %282rooms%29%2F%281.5hours%29%22%22=%22%222%2F1.5=20%2F15=4%2F3rooms/hour

n painters' combined rate = 4%2F3n  rooms/hour

rooms = rate * time

   50 = 4%2F3n * 7.5

Multiply through by 3

 150 = 4n*7.5

 150 = 30n

   5 = n

It would take 5 painters.

Edwin