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If you drive the first 80 miles of a 200 mile trip at a rate of 64mph and the reminder of the trip at a rate 50mph, what is your average speed for the entire trip ?

 Feb 26, 2020
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\(T= \dfrac{80}{64} + \dfrac{200-80}{50} = \dfrac{5}{4}+\dfrac{12}{5} = \dfrac{73}{20}\)

 

\(\bar{v} = \dfrac{200}{\frac{73}{20}} = \dfrac{4000}{73} \approx 54.8 ~mph\)

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 Feb 26, 2020

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