SOLUTION: You have a rectangular swimming pool 20ft by 10ft and uniform depth of 8ft. You want to fill the pool to the top. You calculate that it will take 4 hours to fill the pool. It actua

Algebra ->  Rate-of-work-word-problems -> SOLUTION: You have a rectangular swimming pool 20ft by 10ft and uniform depth of 8ft. You want to fill the pool to the top. You calculate that it will take 4 hours to fill the pool. It actua      Log On


   

Question 216601: You have a rectangular swimming pool 20ft by 10ft and uniform depth of 8ft. You want to fill the pool to the top. You calculate that it will take 4 hours to fill the pool. It actually takes you 4.5 hours to fill the pool. You expect the pool is leaking. Assuming a uniform filling rate and neglecting evaportion, what is the leakage rate to the nearest gallon per minute? (1cu ft = 7.5 gallons).
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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You have a rectangular swimming pool 20ft by 10ft and uniform depth of 8ft.
You want to fill the pool to the top. You calculate that it will take 4 hours to fill the pool.
It actually takes you 4.5 hours to fill the pool. You expect the pool is leaking.
Assuming a uniform filling rate and neglecting evaportion,
what is the leakage rate to the nearest gallon per minute? (1cu ft = 7.5 gallons).
:
Find the no. of gallons in the pool
20 * 10 * 8 * 7.5 = 12000 gallons
:
Find the filling rate, if the pool fills in 4hr
12000%2F4 = 3000 gal/hr
:
Find the no. gallons pumped in 4.5 hrs
4.5 * 3000 = 13500 gal
:
Find amt leaked in 1 min:
%2813500+-+12000%29%2F%284.5%2A60%29 = 5.556 ~ 6 gal per min leaking