Walking Rates

Amel helped his younger brother, Bonne, to determine his walking rate. Amel’s rate was 2.5 meters per second, and Bonne’s was 1 meter per second. Bonne challenges Amel to a walking race, and Amel gives Bonne a head start of 45 meters. Determine the distance and time required for Amel to overtake Bonne.

How long should Amel make the race if he wants his brother to win?

(Source: Mathematics Teaching in the Middle School, Nov-Dec 1995).