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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
2 years, 6 months ago

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  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

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Comment deleted Apr 14, 2015

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@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.

Calvin Lin Staff - 2 years, 6 months ago

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Oops I forgot this is a LIVE question. Thanks for the admin work of sorting this out.

Venture Hi - 2 years, 6 months ago

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dis is a simple one infact

Nithin Nithu - 2 years, 6 months ago

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