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# Advanced Math/amount of time required

Question
how long would it take for a toilet that is constantly running to use 60,000 gallons of water?  the incoming line is one quarter inch in diameter, and the water pressure is standard city water pressure.

A long time! About 272 days. I can give you the details of the calculation if you want (ask a follow-up question), but the essential details are that the flow rate = 1 ft/sec for a pressure of 50 psi and a water density of 62 lbm/ft^3 at 70 degrees F with a 1/4" pipe.
Questioner's Rating
 Rating(1-10) Knowledgeability = 10 Clarity of Response = 10 Politeness = 10 Comment Thank you so much. Our local city government sent me a water bill that said i used 60,000 gallons of water in one month. I said impossible, but they said I must have a leaky toilet. I have refused to pay and I said it must be a faulty water meter. This information that you gave me will help my case greatly.

Volunteer

#### randy patton

##### Expertise

college mathematics, applied math, advanced calculus, complex analysis, linear and abstract algebra, probability theory, signal processing, undergraduate physics, physical oceanography

##### Experience

26 years as a professional scientist conducting academic quality research on mostly classified projects involving math/physics modeling and simulation, data analysis and signal processing, instrument development; often ocean related

Publications
J. Physical Oceanography, 1984 "A Numerical Model for Low-Frequency Equatorial Dynamics", with M. Cane

Education/Credentials
M.S. MIT Physical Oceanography, B.S. UC Berkeley Applied Math

Past/Present Clients
Also an Expert in Oceanography