Difference between revisions of "2021 WSMO Team Round Problems/Problem 5"
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==Problem== | ==Problem== | ||
Two runners are running at different speeds. The first runner runs at a consistent 12 miles per hour. The second runner runs at <math>t+4</math> miles per hour, where <math>t</math> is the number of hours that have passed. After <math>n</math> hours, the runners have run the same distance, where <math>n</math> is positive. Find <math>n</math>. | Two runners are running at different speeds. The first runner runs at a consistent 12 miles per hour. The second runner runs at <math>t+4</math> miles per hour, where <math>t</math> is the number of hours that have passed. After <math>n</math> hours, the runners have run the same distance, where <math>n</math> is positive. Find <math>n</math>. | ||
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+ | ''Proposed by pinkpig'' | ||
==Solution== | ==Solution== |
Latest revision as of 22:16, 15 December 2023
Problem
Two runners are running at different speeds. The first runner runs at a consistent 12 miles per hour. The second runner runs at miles per hour, where
is the number of hours that have passed. After
hours, the runners have run the same distance, where
is positive. Find
.
Proposed by pinkpig