1. ## Running a Track

A man runs n times around a circular track whose radius is t miles. He drinks s quarts of beer for every mile that he runs.

Prove that he will only 1 quart!
Steve
HINT: <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>it is a TRICK question</font color=yellow></span hi>

2. ## Re: Running a Track

<span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>The circumference of a circle is 2 pi times its radius, where pi = 3.141592...
So he drinks 2 pi n t s = 1 quart</font color=yellow></span hi>

3. ## Re: Running a Track

Can't fool you!

Steve

4. ## Re: Running a Track

Hi Hans, sorry to be so stupid but <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>I can see the trick and why it works, but where did the n t s on the end of 2 pi come from</font color=yellow></span hi>, please?

5. ## Re: Running a Track

<span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>The circumference of a circle with a radius of t miles is 2*pi*t miles.
The man runs n times around the track, so he runs a total of 2*pi*n*t miles.
He drinks s quarts of beer for every mile, so he drinks 2*pi*n*t*s
And, as you have learned in school (I didn't, of course, I was brought up with the metric system), 2 pints = 1 quarter (gallon)</font color=yellow></span hi>

6. ## Re: Running a Track

Thanks for the clarification, Hans.

Having said that, I'm still confused <img src=/S/confused.gif border=0 alt=confused width=15 height=20> - in one thread you noted that you can't honestly claim to be under 50, and in another recent thread I admitted I'm about to hit 40, so I'm not sure how come you expected me to think in imperial while you learned the later metric ...! <img src=/S/grin.gif border=0 alt=grin width=15 height=15> Or did you go to school in another country where it's been metric longer than the UK?!

(having said that, I was actually 'on the cusp', as it were - I learned both and therefore, naturally, cannot think properly in either ...!)

7. ## Re: Running a Track

As you can see in my profile, I am Dutch. The metric system has been in use in The Netherlands from before I was born, and it is used by everyone, although vestiges of older systems still crop up in everyday speech.

8. ## Re: Running a Track

Ah - I see! This explains much ...

<img src=/S/smile.gif border=0 alt=smile width=15 height=15>

9. ## Re: Running a Track

I suffered my undergraduate engineering days in Australia, during the dark era of the changeover. While the mere mortals complained about feet to metres and pounds to kilograms, here was I trying to convert metres per second back to furlongs per fortnight, and kilowatts to candella minutes per square cubit, or something equally useful. The mongrels even mixed the units together in exam questions. <img src=/S/sad.gif border=0 alt=sad width=15 height=15>

Alan

10. ## Re: Running a Track

<img src=/S/ouch.gif border=0 alt=ouch width=15 height=15> Ouch! You poor thing!

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