Avg speed of flight

The student's vice adventure had a 2,367 km flight. If their travel time was 2 hours and 56 minutes, what was their average speed in kilometers per hour?

Correct answer:

v =  806.9318 km/h

Step-by-step explanation:

$$\begin{gathered} s=2367\text{km} \\ t=2+\frac{56}{60}=\frac{2\cdot 60}{60}+\frac{56}{60}=\frac{120}{60}+\frac{56}{60}=\frac{120+56}{60}=\frac{176}{60}=\frac{44}{15}\doteq 2.9333\text{h} \\ v=s/t=2367/\frac{44}{15}=2367:\frac{44}{15}=2367\cdot \frac{15}{44}=\frac{2367\cdot 15}{44}=\frac{35505}{44}=\frac{35505}{44}\text{km/h}=806.9318\text{km/h} \end{gathered}$$

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