SOLUTION: Hello- I have a question that I solved but I am not sure if I got the correct answer. The problem is: If two painters can finish painting a house in 7 hours, and it takes the sl

Question 849093: Hello-
I have a question that I solved but I am not sure if I got the correct answer. The problem is: If two painters can finish painting a house in 7 hours, and it takes the slower painter 19 hours by himself, how long would it take the faster painter to finish the house.
Here is what I did: Let f=faster painter hours and s=slower painter hours. I have 1/f + 1/s = 1/7. But 1/s = 1/19. So 1/f = 1/7 - 1/19 = 12/133. So f= 133/12 which is about 11 hours. Is that correct? If not, please tell me where I went wrong.
Thank you very much!
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

1/f = 1/7 - 1/19 = 12/133  Yes, good Work

And  1/f = 133/12 = 11 ¹⁄₁₂ hr  0r 11hr and 5min 

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