SOLUTION: A marathon is a foot race that covers a course of about 26.2 mi. The world record time in the women's marathon is held by Paula Radcliffe of Great Britain. At one point in her reco

Algebra ->  Angles -> SOLUTION: A marathon is a foot race that covers a course of about 26.2 mi. The world record time in the women's marathon is held by Paula Radcliffe of Great Britain. At one point in her reco      Log On


   

Question 850652: A marathon is a foot race that covers a course of about 26.2 mi. The world record time in the women's marathon is held by Paula Radcliffe of Great Britain. At one point in her record-setting race, she was three times as far from the end of the course as she was from the starting point. How many miles had she run at that time?

I keep thinking that for this problem we would have to set it up in a type of equation. I am not to sure I am correct.
3x =26.2
or it does say it is three times from the end point as she was from the starting point. Should I then divide it by 2?

Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
2 hours 15.25 minutes for 26.2 miles. Amazing!
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The total distance has to equal 26.2
Let x be the distance from the end
Let y be the distance from the starting point
X + Y = 26.2
3X = Y
Substitute the value of Y into the equation
x + 3x = 26.2
4x = 26.2
Divide each side by 4
x = 6.55
If x = 6.55, then y = 6.55 * 3 = 19.65
X & y together should be 26.2
6.55 + 19.65 = 26.2
Success!
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Do you know where Radcliffe set her record? 2003 London Marathon.