Question 985285
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The time for him to completely circumnavigate the block is given by:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ t\ =\ \frac{d}{4}\ +\ \frac{d}{5}\ +\ \frac{d}{10}\ +\ \frac{d}{20}]


where *[tex \Large d] is the distance along one side of the block.  Your answer to this part will be in terms of *[tex \Large d]


Once you know the time to go all the way around, the average speed is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ r_{avg}\ =\ \frac{4d}{t}]


Note:  If you perform the calculations correctly, the factor *[tex \Large d] will fall out and you will be left with rational number solution.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \