## Turning Point

Lee Bradley is at it again. This problem is inspired by one of his tutoring sessions in the ASC. Follow the link. Enjoy the goodness.

Thanks, Lee!

This entry was posted on Wednesday, May 15th, 2013 at 10:23 pm and is filed under Algebra, problem.
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A solution to this problem is available from a link at the bottom of the page you get to if you go to the link above. When I told Hendree about this problem, he solved it by using WolframAlpha. The specific problem at the time was this:

“The distance from New York to London is 3459 miles. A plane which travels at 500 mph when there is no wind leaves New York and flies toward London when there is a 15 mph tailwind. The pilot turns around at point P and heads back to New York. The trip from point P to New York took the same time as the trip from point P to London would have taken had he kept going. What’s the distance to the nearest mile from New York to point P?”

Using distance/rate=time it can be seen that

x/485=(3459-x)/515

http://wolframalpha.com/input/?i=x/485=(3459-x)/515