Question 251389
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Trip up the hill:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ d\ =\ rt]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ d\ =\ 4t]


Trip down the hill. We can use the same distance because we can assume that the mountain did not grow or shrink noticeably during the hike.  And we use *[tex \LARGE 3\ -\ t] for the time because if *[tex \LARGE t] was the time up the hill and the total trip was 3 hours, then *[tex \LARGE 3\ -\ t] is what is left for going down the hill. 


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ d\ =\ 6(3\ -\ t)]


Set these two expressions equal to *[tex \LARGE d] equal to each other:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4t\ =\ 6(3\ -\ t)]


Solve this little equation in *[tex \LARGE t] and you have your answer.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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