SOLUTION: i dont know how to slove these problems i have the question set up and the answer but i dont know how to solve it together two pipes can fill a vat in 8 hours 24 minutes. if the s

Question 872063: i dont know how to slove these problems i have the question set up and the answer but i dont know how to solve it together two pipes can fill a vat in 8 hours 24 minutes. if the smaller pipe takes 28 hours to fill the vat how long does it take to fill the vat? please help
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39629) (Show Source): You can put this solution on YOUR website!
The job is, "fill a vat".
R for rate
T for time
J for job or jobs
RT=J

Small and Big pipes together, rate is
Small pipe, rate is
Big pipe,

Combined rate of both pipes is the sum of the rates of the small pipe and big pipe:
.

-

OR hours, meaning 14 minutes

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
The other tutor made several arithmetic errors.
8 24/60= 8.4=84/10
1/t+1/28=5/42
1/t=5/42-1/28
1/t=(140-42)/1176
1/t=98/1176
1/t=1/12
t=12 hours

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