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Magoosh Brain Twister: A Long Journey


So far I’ve been very impressed with the number of correct answers I’m getting to each week’s Brain Twister. So…I’ve decided to make the question even more twisty, more diabolical. That doesn’t mean it is impossible. Good luck!

A bicyclist travels 8 miles due west at a constant speed. Next, she rides x miles in a straight line in a direction somewhere between north and east, traveling at half the speed. She stops when she is due north of her starting point, at which time she is y miles from her original location. She then rides, at 1/3 of her original speed, due south for x/2 miles, at which point she ends her trip, more than x/3 miles from her starting point. If x and y are integers, how many total miles did she cycle?

(A) 15
(B) 24
(C) 32.5
(D) 33.5
(E) 40

Check back on Thursday for the explanation!


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