SOLUTION: A painter can finish painting a house in 3 hours. Her assistant takes 5 hours to finish the same job. How long would it take for them to complete the job if they were working toget

Algebra ->  Test -> SOLUTION: A painter can finish painting a house in 3 hours. Her assistant takes 5 hours to finish the same job. How long would it take for them to complete the job if they were working toget      Log On


   

Question 437261: A painter can finish painting a house in 3 hours. Her assistant takes 5 hours to finish the same job. How long would it take for them to complete the job if they were working together?
A. 2 hours
B. 8 hours
C. 15 hours
D. 1 7/8 hours
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Let x represent time it would take together

Question states*** Per hour being the equalizer

  1/3 + 1/5 = 1/x  Multiplying thru by 15x so as all denominators=1

   5x + 3x = 15

     8x = 15

      x = 15/8 or 1 7/8 hrs, time it would take together



CHECKING our Answer***

  5/15 + 3/15 = 1/(15/8) = 8/15