SOLUTION: If two painters can paint 2 rooms in 2 hrs, how painters would it take to paint 18 rooms in 6 hrs

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If two painters can paint 2 rooms in 2 hrs, how painters would it take to paint 18 rooms in 6 hrs      Log On


   

Question 983396: If two painters can paint 2 rooms in 2 hrs, how painters would it take to paint 18 rooms in 6 hrs
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Each person performs the task of painting at the same rate.
Rates of people on the task together are simply added.
RT=J to relate rate, time, amount of task.

Let p be the unknown number of painters.

highlight%28system%282r%2A2=2%2Cp%2Ar%2A6=18%29%29

This system is simplifiable.
system%28r%2A2=1%2Cp%2Ar%2A3=9%29

Find r, first.
highlight_green%28r=1%2F2%29

Find p.
p=9%281%2F%283r%29%29
p=3%2Fr
p=3%2A2
highlight%28p=6%29