Using proportions, it is found that:
- Peter is walking at a rate of 3 km/h.
- MJ is biking at a rate of 9 km/h.
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- Peter is walking at a rate of x km/h.
- MJ is biking 6 km/h faster than Peter, thus 6 + x km/h.
- Opposite directions, thus, their distance increases at a rate of (6 + 2x) km each hour, as [tex]6 + x + x = 6 + 2x[/tex].
6 + 2x km each hour, 18 km after 1.5 hours, thus, the rule of three is:
1h - (6 + 2x) km
1.5h - 18 km
Applying cross multiplication:
[tex]1.5(6 + 2x) = 18[/tex]
[tex]9 + 3x = 18[/tex]
[tex]3x = 9[/tex]
[tex]x = \frac{9}{3}[/tex]
[tex]x = 3[/tex]
[tex]x + 6 = 3 + 6 = 9[/tex]
Then:
- Peter is walking at a rate of 3 km/h.
- MJ is biking at a rate of 9 km/h.
A similar problem is given at https://brainly.com/question/24112433
