Sue walks along a trail, starting at 7 am and finishing at 10 am. The travel graph shows Sue’s journey from the start to the finish. The journey has been broken into six sections, `A`, `B`, `C`, `D`, `E` and `F`.
- In which section of the journey did Sue travel fastest? Justify your answer. (2 marks)
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- Kim walked along the same trail, also starting at 7 am and finishing at 10 am. Kim walked at a constant speed for the entire journey.
- By showing Kim’s journey on the grid above, determine between what times Sue was ahead of Kim. (3 marks)
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Show Answers Only
a. `text(S)text(ection)\ C\ \text{(Slope is the steepest)}.`
b. `text(8:30 am – 9:15 am)`
Show Worked Solution
a. `text{Fastest travel occurs when the slope is the steepest.}`
`=>\ text{Section}\ C`
b.
`text(Sue was ahead when her graph is higher than Kim’s.)`
`:.\ text(She was ahead between 8:30 am – 9:15 am)`