Question

10. MJ and Peter Parker leave school traveling in opposite

Answer 1

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 $6 + x + x = 6 + 2x$.

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:

$1.5(6 + 2x) = 18$

$9 + 3x = 18$

$3x = 9$

$x = \frac{9}{3}$

$x = 3$

$x + 6 = 3 + 6 = 9$

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 brainly.com/question/24112433