Difference between revisions of "2005 AMC 8 Problems/Problem 10"
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Revision as of 00:09, 5 July 2013
Problem
Joe had walked half way from home to school when he realized he was late. He ran the rest of the way to school. He ran 3 times as fast as he walked. Joe took 6 minutes to walk half way to school. How many minutes did it take Joe to get from home to school?
Solution
Use the equation 
where 
is the distance, 
is the rate, and 
is the time. The distances he ran and walked are equal, so 
. Because he runs three times faster than he walks, 
. We want to find the time he ran, 
minutes. He traveled for a total of 
minutes.
See Also
| 2005 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Problem 11 | |
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
