Friday, October 9, 2015

Bonus Question: Are You Smarter Than a 6th Grader #2

Here is a little problem that you can work on over the weekend and email or turn in to me by class time on Monday, October 12.    5 points will be added to quiz grades for correct answer.  No advanced math is required for this problem, it can even be done without algebra.

TRANSPORTATION PROBLEM

2 towns, Alpha and Beta are exactly 425 miles apart.  To get directly from Alpha to Beta one can ride a bus, but to get directly from Beta to Alpha, one has to ride on a train.  If the bus leaves Alpha at 7am and travels at a constant speed of 57 miles per hour toward Beta, and at 8am the train leaves Beta and travels at a constant speed of 90 miles per hour toward Alpha,  HOW FAR APART ARE THE VEHICLES EXACTLY 20 MINUTES BEFORE THEY PASS EACH OTHER?  Assume that both vehicles are traveling at constant speeds and in straight paths, and will not run into each other, but pass each other without incident.  

This is not a play on words problem... its a math logic problem.

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