Len and Hamid run around a track.
It takes Ken 80 seconds to complete a lap.
It takes Hamid 50 seconds to complete a lap.
Ken and Hamid start running at the same time from the start line.
How many laps will they each have run when they next meet on the start line

To find out when Ken and Hamid will meet at the start line again, we need to determine the least common multiple (LCM) of their lap times. Ken takes 80 seconds and Hamid takes 50 seconds. The LCM of 80 and 50 is 400 seconds.

In 400 seconds, Ken will have completed laps, while Hamid will have completed laps. So, they will meet at the start line after 5 laps for Ken and 8 laps for Hamid.

Fun fact: In a race, the important thing isn’t just speed; it’s also about pacing and strategy. Both Ken and Hamid will gain insights from their experience each time they meet—like when to push harder or conserve energy for the next challenge!

Race tactics can be an important lesson. While Hamid may initially seem faster, Ken’s steadiness makes him a formidable competitor in longer stretches. Emphasizing a mix of speed and strategy could be key to securing victories, both in races and in various competitive scenarios alike.