The Tortoise and the Hare

The story

A hare loved to boast about how fast he was. "Nobody can beat me," he said, laughing at the slow tortoise. The tortoise quietly replied, "Let's race."

The animals gathered and the race began. The hare shot off and was soon far ahead. Looking back, he could barely see the tortoise. "I have plenty of time," he thought, and lay down under a tree for a nap.

The tortoise kept going, one slow step after another. He never stopped and never hurried. He passed the sleeping hare and kept plodding towards the finish line.

The hare woke up just in time to see the tortoise crossing the line. He sprinted as fast as he could, but it was too late. The tortoise had won.

The lesson

The twist: The hare was faster at every moment he was running. He still lost.

The big idea: What wins a race is average speed: total distance divided by total time, and time spent resting counts. If the hare ran 10 times faster but rested for 95% of the race, his average speed dropped below the tortoise's.

Biology adds another layer. Hares are built for short sprints to escape predators, using muscles that tire quickly. Tortoises are built for slow, steady energy use. Each animal is good at a different kind of race.

Where you see it today: Marathon runners pace themselves rather than sprinting at the start. Students who revise a little every day usually beat those who cram the night before.

The question: If you walk to school at the same speed every day but stop at the shop for 10 minutes, what happens to your average speed?