SOLUTION: the amount of water a pipe can allow to flow varies directly as the time it is open. If 350 gallons flow through in 20 minutes, how many hours will it takt to get 3000 gallons of w

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: the amount of water a pipe can allow to flow varies directly as the time it is open. If 350 gallons flow through in 20 minutes, how many hours will it takt to get 3000 gallons of w      Log On


   

Question 22530: the amount of water a pipe can allow to flow varies directly as the time it is open. If 350 gallons flow through in 20 minutes, how many hours will it takt to get 3000 gallons of water?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First set up the equation of proportionality: Let F = flow in gallons and T = time in hours.
F+=+kT where k is the constant of proportionality. Solve for k.
k+=+F%2FT Substitute F = 350 gallons and T = 20 mins = 1/3 hour.
k+=+350%2F%281%2F3%29
k+=+350%283%29
k+=+1050
Now you can solve the problem:
T+=+F%2Fk Substitute F = 3000 gallons and k = 1050
T+=+3000%2F1050
T+=+2.857hrs
T = 2 hrs. 51 mins. 25.2 secs.