Maths Olympiad Prep

Library / CEMC Fermat /162 of 566

CEMC Fermat, 2023

Algebra Difficulty 1.3 Junior Find the answer Canada

A bicycle trip is 30 km long. Ari rides at an average speed of 20
km/h. Bri rides at an average speed of 15 km/h. If Ari and Bri begin at
the same time, how many minutes after Ari finishes the trip will Bri
finish?

Pick one

Solution

Riding at 15 km/h, Bri finishes the 30 km in 30 km15 km/h=2 h\dfrac{30\text{ km}}{15\text{ km/h}} = 2\text{ h}.

Riding at 20 km/h, Ari finishes the 30 km in 30 km20 km/h=1.5 h\dfrac{30\text{ km}}{20\text{ km/h}} = 1.5\text{ h}.

Therefore, Bri finishes 0.5 h after Ari, which is 30 minutes.

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.