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

Algebra ->  Equations -> SOLUTION: You have a rectangular swimming pool 20 ft. by 10 ft, and a uniform depth of 8 ft. You want to fill the pool to the top. You calculate that it will take 4 hours to fill the poo      Log On


   

Question 259520: You have a rectangular swimming pool 20 ft. by 10 ft, and a uniform depth of 8 ft. 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 suspect the pool is leaking. How much water has leaked from the pool during the 4.5 hours? Assuming a uniform filling rate, and neglecting evaporation, what is the leakage rate (to the nearest gal. per minute)? (1 cu. ft. =7.5 gal.)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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You have a rectangular swimming pool 20 ft. by 10 ft, and a uniform depth of 8 ft.
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 suspect the pool is leaking. How much water has leaked from the pool during the 4.5 hours?
Assuming a uniform filling rate, and neglecting evaporation, what is the leakage rate (to the nearest gal. per minute)? (1 cu. ft. =7.5 gal.)
:
Find out the total gallons in the pool
:
20 * 10 * 8 * 7.5 = 12,000 gallons
:
Find the gallons/min pumped to pump 12000 gallons
12000%2F%284%2A60%29 = 50 gal.min
:
Find the number of gal pumped in the extra 30 min time
30 * 50 = 1500 gal
that amt in a 4.5 hr period:
1500%2F%284.5%2A60%29 = 5.556 ~ 6 gal/min leak
:
:
Check it this way on a calc:
4.5*60*(50-5.556) = 11999.88 ~ 12000