Difference between revisions of "2025 AMC 8 Problems/Problem 19"
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− | + | Two towns, <math>A</math> and <math>B</math>, are connected by a straight road, <math>15</math> miles long. Traveling from town <math>A</math> to town <math>B</math>, the speed limit changes every <math>5</math> miles: from <math>25</math> to <math>40</math> to <math>20</math> miles per hour (mph). Two cars, one at town <math>A</math> and one at town <math>B</math>, start moving toward each other at the same time. They drive at exactly the speed limit in each portion of the road. How far from town <math>A</math>, in miles, will the two cars meet? | |
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+ | <math>\textbf{(A)}\ 7.75\qquad \textbf{(B)}\ 8\qquad \textbf{(C)}\ 8.25\qquad \textbf{(D)}\ 8.5\qquad \textbf{(E)}\ 8.75</math> |
Revision as of 22:02, 29 January 2025
Two towns, and , are connected by a straight road, miles long. Traveling from town to town , the speed limit changes every miles: from to to miles per hour (mph). Two cars, one at town and one at town , start moving toward each other at the same time. They drive at exactly the speed limit in each portion of the road. How far from town , in miles, will the two cars meet?