Investigation 1: Did Mr. Lam Speed?
Test yourself (Answers)
Number of minutes from start of trip |
Total number of kilometres traveled |
40 |
50 |
60 |
70 |
90 |
110 |
- In the first time period the distance traveled is
greater than the time, which means that the speed would be greater
than 1 km/min. For the second time period they are equal, which would
mean that the speed is 1 km/min. For the third, the speed would be
greater than 1 km/min since the distance is greater than the time.
So the average speed decreases in the second leg of the trip and then
increases again.
- Using the formula
,
we can calculate each average speed or rate:First time period:

Second time period:

Third time period:

- The average speed for the entire trip is:

- The overall average speed makes sense since the three
partial speeds range from 60 km/hr to 80 km/hr, the overall
average should fall within that range, which it does.
|