A speedy tortoise can run at 0.08 m/s, and a hare can run 15 times as fast. In a race, they start at the same time, but the hare stops to rest for 1.8 min, so the tortoise wins by a shell (20 cm).
How long does the race take?
Answer in units of s
What is the length of the race?
Answer in units of m
To find the race time, we need to determine how long the hare runs before stopping to rest and then adding that to the time it takes for the tortoise to finish the race.
Let's start by finding the time it takes for the hare to run before resting. We know that the tortoise runs at 0.08 m/s and the hare runs 15 times as fast, so the hare's speed is 15 * 0.08 = 1.2 m/s.
To find the time before resting, we divide the distance the hare runs before resting (which is the length of the race) by the hare's speed:
Time before resting = Distance / Speed
Time before resting = Length of the race / Hare's speed
Time before resting = 0.20 m / 1.2 m/s = 0.167 s
Now, we need to find the time it takes for the tortoise to finish the race. We know that the tortoise's speed is 0.08 m/s, and the race is 0.20 m long:
Time for tortoise to finish = Distance / Speed
Time for tortoise to finish = Length of the race / Tortoise's speed
Time for tortoise to finish = 0.20 m / 0.08 m/s = 2.5 s
Finally, we can calculate the total race time by adding the time before resting for the hare and the time for the tortoise to finish the race:
Total race time = Time before resting + Time for tortoise to finish
Total race time = 0.167 s + 2.5 s = 2.667 s
Therefore, the race takes 2.667 seconds.
To find the length of the race, we already know that it is 0.20 meters. Therefore, the length of the race is 0.20 meters.