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).
:
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
{{{12000/4}}} = 3000 gal/hr
:
Find the no. gallons pumped in 4.5 hrs
4.5 * 3000 = 13500 gal
:
Find amt leaked in 1 min:
{{{(13500 - 12000)/(4.5*60)}}} = 5.556 ~ 6 gal per min leaking