SOLUTION: A swimming pool is to be filled with water by pump.The pool is north to south 40 ft long, 23 ft. wide east to west, and is 10 ft. deep at the north end and 3 ft. deep at the south

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A swimming pool is to be filled with water by pump.The pool is north to south 40 ft long, 23 ft. wide east to west, and is 10 ft. deep at the north end and 3 ft. deep at the south       Log On


   

Question 808172: A swimming pool is to be filled with water by pump.The pool is north to south 40 ft long, 23 ft. wide east to west, and is 10 ft. deep at the north end and 3 ft. deep at the south end. If the pump fills the pool at the rate of 1 cubic yard every 9 minutes,how long will it take to fill the pool to the top?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
What volume to be filled?

What fill rate in either cubic feet per minute or cubic yards per minute?

How many minutes or time to fill?


You might want to do all in one single statement instead of as three separate questions, since very few complications are involved - only a unit conversion.

rate*minutes=volume
Let x = minutes to fill pool
%281%2F9%29%2Ax %28yd%2Ayd%2Ayd%2Fminute%29minute=40%2A23%2A10%281%2F3%29%281%2F3%29%281%2F3%29%28ft%2Aft%2Aft%29%28yd%2Fft%29%28yd%2Fft%29%28yd%2Fft%29

Without showing the units,
highlight%28%281%2F9%29x=%2840%2A23%2A10%29%2F%283%2A3%2A3%29%29
x=3067 minutes
Convert to whatever time unit you need.