madisonfrench4354 madisonfrench4354
  • 18-09-2018
  • Mathematics
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You travel 80 km in the first 1.00 hour of a trip, 50 km in the next 0.50 hours, and 40 km in the final 0.25 hours. Calculate your average speed for the entire trip?

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Аноним Аноним
  • 18-09-2018

The average speed is the ratio between the distance covered, and the time elapsed to cover that distance.

The total distance is the sum of the three distances covered:

[tex] d = 80km+50km+40km = 170km [/tex]

Similarly, the total time elapsed is

[tex] 1h + 0.5h + 0.25h = 1.75h[/tex]

So, althought you didn't always travelled with the same speed, you globally covered 170km in 1.75 hours. This leads to an average speed of

[tex] \dfrac{170\text{km}}{1.75\text{h}} \approx 97.14 \dfrac{\text{km}}{\text{h}} [/tex]

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