Average speed of two speeds going the same distance

Quazzletheqaz

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Aug 19, 2018
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"A bicycle rides in a straight line at 1 [FONT=MathJax_Main]k[FONT=MathJax_Main]m[/FONT] at 10 [FONT=MathJax_Main]k[/FONT][FONT=MathJax_Main]m[/FONT][FONT=MathJax_Main]/[/FONT][FONT=MathJax_Main]h[/FONT] and then another 1 [FONT=MathJax_Main]k[/FONT][FONT=MathJax_Main]m[/FONT] at 30 [FONT=MathJax_Main]k[/FONT][FONT=MathJax_Main]m[/FONT][FONT=MathJax_Main]/[/FONT][FONT=MathJax_Main]h[/FONT] . "

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Part A says the average speed is below 20 km/h.

Part B is what I need help with:
"Verify your answer to Part A by calculating the average speed."

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Average speed is (total distance)/(total time)

They provided each distance, so you can easily determine the total distance.

To get the total time, you need to first determine each time.
 
"A bicycle rides in a straight line at 1 [FONT=MathJax_Main]k[FONT=MathJax_Main]m[/FONT] at 10 [FONT=MathJax_Main]k[/FONT][FONT=MathJax_Main]m[/FONT][FONT=MathJax_Main]/[/FONT][FONT=MathJax_Main]h[/FONT] and then another 1 [FONT=MathJax_Main]k[/FONT][FONT=MathJax_Main]m[/FONT] at 30 [FONT=MathJax_Main]k[/FONT][FONT=MathJax_Main]m[/FONT][FONT=MathJax_Main]/[/FONT][FONT=MathJax_Main]h[/FONT] . "
[/FONT]

Part A says the average speed is below 20 km/h.

Part B is what I need help with:
"Verify your answer to Part A by calculating the average speed."

The reason the average speed will be lower than 20 mph (the average of the two speeds) is that the rider will spend more time at the lower speed, so that will have more effect on the average speed.

To calculate the average speed, as you have been told, divide the total distance by the total time.
 
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