Answer:
2 minutes.
Step-by-step explanation:
Let t be the time taken in competition and the distance covered by Achilles be x miles.
We have been given that when Achilles reaches the finish line, the Turtle is 2/5 of a mile behind him. This means that distance covered by turtle will be: .
Achilles runs at a speed of 13 mph while the Turtle moves at a speed of 1 mph.
Since we know that , so we can set two equations for time taken by Achilles and turtle as:
From equation (1) we will get,
Upon substituting this value in equation (2) we will get,
Let us have a common denominator.
Upon multiplying both sides of our equation by 5 we will get,
So, the competition took 1/30 hour, let us convert our given time in minutes.
Therefore, the competition took 2 minutes.