Question

The Turtle and Achilles compete. They start at the same time from the same place. Achilles runs at a speed of 13 mph while the Turtle moves at a speed of 1 mph. When Achilles reaches the finish line, the Turtle is 2 5 of a mile behind him.

How much time did the competition take?

Answer 1

The competition took 12.5 minutes.

Explanation:

Let the time taken by Achilles to complete the competition is h hours.

Now, Achilles runs at a speed of 13 mph while the Turtle moves at a speed of 1 mph.

So, the competition was 13h miles long.

Now, Turtle will take h hours to complete h miles of the competition.

Now, given that (13h - h) = 2.5

⇒ 12h = 2.5

⇒ h = 0.208 hours.

⇒ h = 12.5 minutes.

Therefore, the competition took 12.5 minutes. (Answer)