Question 889871
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I sincerely hope that you are actually confused about how the formula should be <i><b>written</b></i>.


Your representation, aside from the extraneous plus sign at the end, was a perfectly good mathematical model of the situation assuming you intended *[tex \Large x] to represent the distance remaining.  The only difficulty with your method is that once you solve for *[tex \Large x], you have to multiply it by 2 in order to arrive at the answer to the question asked, namely "How many miles had he completed at that mark?"


In order to answer the question more directly, let *[tex \Large x] represent the number of miles already traveled.  Then the remaining distance is one half of that amount, hence:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ \frac{x}{2}\ =\ 140.6]


And solving for *[tex \Large x] gives you the answer to the question posed.


Alternatively, you could save yourself a good deal of angst by recognizing that he has completed 2 out of 3 parts of the race, hence he has gone 2/3 times 140.6 miles.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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