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A car travels at an average speed of 45 mph for 40 minutes.
The next part of the car's journey takes 25 minutes at an average speed of 60 mph.
Show that the average speed of the entire journey is just over 50 mph.

Answer :

sqdancefan

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Answer:

  the average speed is 50 10/13 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  distance = speed × time

The distance traveled in the first part of the car's journey is ...

  (45 mi/h)(2/3 h) = 30 mi

The distance traveled in the second part of the car's journey is ...

  (60 mi/h)(25/60 h) = 25 mi

Then the total distance is 30 mi +25 mi = 55 mi.

The total time is ...

  40 min +25 min = 65 min = 65/60 h = 13/12 h

The average speed for the trip is ...

  speed = distance/time = (55 mi)/(13/12 h) = 660/13 mi/h = 50 10/13 mi/h

The average speed of the journey is 50 10/13 mi/h, just over 50 mi/h.

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