2021 WSMO Team Round/Problem 5

Revision as of 12:00, 14 December 2023 by Pinkpig (talk | contribs) (Created page with "==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, wh...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Two runners are running at different speeds. The first runner runs at a consistent 12 miles per hour. The second runner runs at $t+4$ miles per hour, where $t$ is the number of hours that have passed. After $n$ hours, the runners have run the same distance, where $n$ is positive. Find $n$.

Solution