Difference between revisions of "2009 AMC 8 Problems/Problem 6"
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Steve's empty swimming pool will hold <math> 24,000</math> gallons of water when full. It will be filled by <math> 4</math> hoses, each of which supplies <math> 2.5</math> gallons of water per minute. How many hours will it take to fill Steve's pool? | Steve's empty swimming pool will hold <math> 24,000</math> gallons of water when full. It will be filled by <math> 4</math> hoses, each of which supplies <math> 2.5</math> gallons of water per minute. How many hours will it take to fill Steve's pool? | ||
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<math> \textbf{(A)}\ 40 \qquad | <math> \textbf{(A)}\ 40 \qquad | ||
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\textbf{(D)}\ 46 \qquad | \textbf{(D)}\ 46 \qquad | ||
\textbf{(E)}\ 48</math> | \textbf{(E)}\ 48</math> | ||
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| + | ==Solution== | ||
| + | Each of the four hoses hose fills <math>24,000/4 = 6,000</math> gallons of water. At the rate it goes at it will take <math>6,000/2.5 = 2400</math> minutes, or <math>\boxed{\textbf{(A)}\ 40}</math> hours. | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2009|num-b=5|num-a=7}} | {{AMC8 box|year=2009|num-b=5|num-a=7}} | ||
Revision as of 16:24, 25 December 2012
Problem
Steve's empty swimming pool will hold 
gallons of water when full. It will be filled by 
hoses, each of which supplies 
gallons of water per minute. How many hours will it take to fill Steve's pool?
Solution
Each of the four hoses hose fills 
gallons of water. At the rate it goes at it will take 
minutes, or 
hours.
See Also
| 2009 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
