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# How to solve a tricky word problem

Question: In a 1 km race, A wins B by 40 meters and A wins C by 70 meters (same race). Assuming that they run at constant speed, the distance by which B wins C in the race can be expressed in the form x/y , where x and y are coprime positive integers. Find xy. Original question is titled Are you smarter than a fifth grader- Part 5 by Krishna Ar Only 14% of those who attempted it got it right.

I wrote up a great solution explaining how you can approach such a problem, and motivated how to think about such questions. I would encourage you to read it, and then practice on a similar problem Only 28% who attempted it got it right.

Note by Venture Hi
1 year, 9 months ago

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Comment deleted Apr 14, 2015

@Venture HI Thanks for doing such an in-depth writeup. I would prefer that solution discussions occur on the problem itself, instead of being linked out to other notes. I've moved your writeup into the problem, and encourage others to comment there instead. Staff · 1 year, 9 months ago

Oops I forgot this is a LIVE question. Thanks for the admin work of sorting this out. · 1 year, 9 months ago