UKMT - Senior Mathematical Challenge - 2021 - 20 | Exact Science

20

Laura and Dina have a running race. Laura runs at constant speed and Dina runs n times as fast where n > 1. Laura starts B meters in front of Dina. What distance does Dina run before overtaking Laura?

A. nB / (n - 1) B. nB C. B / (n - 1) D. nB / (n + 1) E. B / n

Answer

A

SOLUTIOn

By solving for the distance Dina runs using time and speed relationships, the answer is nB / (n - 1).

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