Maths Olympiad Prep

Library / CEMC Cayley /265 of 470

CEMC Cayley, 2005

Algebra Difficulty 2.0 Junior Find the answer Canada

A 400 m track is constructed so that the points AA, BB, CC, and DD divide the track into four segments of equal length. The Start is half-way between AA and BB. Andrew begins at the Start and walks at a steady rate of 1.4 m/s in a counter-clockwise direction. After exactly 30 minutes, to what point will Andrew be closest?

(A) AA (B) BB (C) CC (D) DD (E) Start

Figure for this problem

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.
Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.