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Question 1079933: Starting at the same spot on a circular track that is 80 meters in diameter, Hillary and
Eugene run in opposite directions, at 300 meters per minute and 240 meters per minute,
respectively. They run for 50 minutes. What distance separates Hillary and Eugene when
they finish? There is more than one way to interpret the word distance in this question.
Answer by ikleyn(52775)   (Show Source):
You can put this solution on YOUR website! .
Starting at the same spot on a circular track that is 80 meters in diameter, Hillary and
Eugene run in opposite directions, at 300 meters per minute and 240 meters per minute,
respectively. They run for 50 minutes. What distance separates Hillary and Eugene when
they finish? There is more than one way to interpret the word distance in this question.
~~~~~~~~~~~~~~~~~~~~~~~
Let's assume that Hillary runs clockwise, while
Eugene runs anti-clockwise.
Then after running 50 minutes, Hillary completed  = 59.71 lapses.
Eugene completed  = 47.77 lapses.
The distance between them, measured along the circular track, is (1-0.77) + (1-0.71) of the track length.
(Remember, the fractions 0.77 and 0.71 of the track length relate to opposite directions !).
(1-0.77) + (1-0.71) = 0.52 (very approximately),
so Hillary and Eugene are approximately in diametrically opposite parts of the track.
Now you can interpret this answer as you want.
Solved.
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