SOLUTION: 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, re

Algebra.Com
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(52776)   (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.


RELATED QUESTIONS

Starting at the same spot on a circular track that is 80 meters in diameter, Hillary and... (answered by Boreal)
Boris and Natasha start at the same place and at the same time on a 200 meter circular... (answered by ankor@dixie-net.com)
A and B run at constant velocities along a circular track. The circumference of the track (answered by ankor@dixie-net.com)
Glen runs 10 meters in the same time that Leo runs 8 meters. One day they ran around a... (answered by ankor@dixie-net.com)
Zach and Wang start running from the same place around a circular track of 500 meters in... (answered by ikleyn)
Two men starting at a point on a circular 1-mile race track walk in opposite directions... (answered by ankor@dixie-net.com)
There is a circular track of 440 meters. There are three persons Symonds, Harbhajan and... (answered by ankor@dixie-net.com)
A and B start running from the same point and along the same direction on a circular... (answered by Boreal)
Two cars A and B are to race around a 1500-meter circular track. If they will start at... (answered by ikleyn)