Maths Olympiad Prep

Library / CEMC Fermat /179 of 566

CEMC Fermat, 2026

Algebra Difficulty 1.4 Junior Find the answer Canada

Maria drove 500500 km in 88 hours. Andrea flew a helicopter 15001500 km and averaged a speed that was
four times Maria's average driving speed. How long did Andrea's flight
take?

Pick one

Solution

Maria drove 500 km500\text{ km} in
88 hours and thus had an average
speed of 500 km8 h=62.5 km/h\dfrac{500\text{ km}}{8\text{ h}}=62.5\text{ km/h}.

Andrea’s average speed was four times Maria’s, or 4×62.5 km/h=250 km/h4\times62.5\text{ km/h}=250\text{ km/h}.

Andrea’s flight was 1500 km1500\text{ km},
and so her flight took 1500 km250 km/h=6\dfrac{1500\text{ km}}{250\text{ km/h}}=6 hours.

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.