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A car travels 30 kph going uphill and 60 kph going downhill.   What is its average speed if it goes 100 km uphill and 50 km downhill?

 May 14, 2020
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The average speed equals \(\frac{total distance}{total time}\). The total time is the time going uphill + the time going downhill. This is \(\frac{100}{30}+\frac{50}{60} = \frac{125}{30}=\frac{25}{6}\). So the fraction\(\frac{total distance}{total time} = \frac{150}{\frac{25}{6}} = 150/25*6=\boxed{36}\)

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 May 14, 2020

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