A tortoise can run with a speed of 14.0 cm/s, and a hare can run exactly 15 times as fast. In a race, they both start at the same time, but the hare stops to rest for 2.00 min. The tortoise wins by 20.0 cm.

(a) How long does the race take?
s
(b) What is the length of the race?

To answer both (a) and (b), we need to calculate the time it takes for the tortoise to finish the race and the distance of the race.

Let's start by finding the time it takes for the tortoise to finish the race.

The tortoise runs with a speed of 14.0 cm/s, and we know that it wins by a distance of 20.0 cm. Since the distance is the same as speed times time, we can write the equation:

Distance = Speed * Time

Substituting in the values we know:

20.0 cm = 14.0 cm/s * Time

Dividing both sides of the equation by 14.0 cm/s:

Time = 20.0 cm / 14.0 cm/s

Time = 1.43 s

So, it takes the tortoise 1.43 seconds to finish the race.

Now, let's calculate the length of the race.

Since we know the speed of the tortoise, we can determine the distance it covers in the time it takes to finish the race.

Distance = Speed * Time

Distance = 14.0 cm/s * 1.43 s

Distance = 20.02 cm

Therefore, the length of the race is approximately 20.02 cm.

In summary:
(a) The race takes approximately 1.43 seconds.
(b) The length of the race is approximately 20.02 cm.