Difference between revisions of "2000 AIME II Problems/Problem 13"
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== Problem == | == Problem == | ||
| + | In the middle of a vast prairie, a firetruck is stationed at the intersection of two perpendicular straight highways. The truck travels at <math>50</math> miles per hour along the highways and at <math>14</math> miles per hour across the prairie. Consider the set of points that can be reached by the firetruck within six minutes. The area of this region is <math>m/n</math> square miles, where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m + n</math>. | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| − | + | {{AIME box|year=2000|n=II|num-b=12|num-a=14}} | |
Revision as of 18:15, 11 November 2007
Problem
In the middle of a vast prairie, a firetruck is stationed at the intersection of two perpendicular straight highways. The truck travels at 
miles per hour along the highways and at 
miles per hour across the prairie. Consider the set of points that can be reached by the firetruck within six minutes. The area of this region is 
square miles, where 
and 
are relatively prime positive integers. Find 
.
Solution
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See also
| 2000 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
