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 long is the distance between the start line and the finish line?
Answers
Given : Achilles runs at a speed of 13 mph while the Turtle moves at a speed of 1 mph.
Achilles reaches the finish line, the Turtle is 2/5 of a mile behind him.
To Find : How long is the distance between the start line and the finish line?
Solution:
Distance = speed x time
Let say distance between the start line and the finish line = D miles
Distance covered by Achilles = D miles
Achilles runs at a speed of 13 mph
=> Time taken by Achilles = D/13 hrs
Turtle moves at a speed of 1 mph
Distance covered by turtle = (D/13) * 1 = D/13 miles
Turtle is 2/5 of a mile behind him.
D - D/13 = 2/5
=> 65D - 5D = 26
=> 60D = 26
=> D = 26/60
=> D = 13/30
distance between the start line and the finish line = 13/30 Miles
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