SOLUTION: Working alone, a painter can paint a small apartment in 10 hours. Her helper can paint the same apartment in 15 hours. How long would it take the painter and her helper to complete

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Working alone, a painter can paint a small apartment in 10 hours. Her helper can paint the same apartment in 15 hours. How long would it take the painter and her helper to complete      Log On


   

Question 959846: Working alone, a painter can paint a small apartment in 10 hours. Her helper can paint the same apartment in 15 hours. How long would it take the painter and her helper to complete the job if they work together?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate x Time = Output
Let the output of 100 be completing the job.
R%2At=100
So the rate for the painter is,
R%2A10=100
R=10
The assistant's rate is,
A%2A15=100
A=100%2F15
A=20%2F3
So then together,
%2810%2B20%2F3%29%2At=100
30%2F3%2B20%2F3%29%2At=100
%2850%2F3%29%2At=100
t=100%283%2F50%29
t=300%2F50
t=6hrs