Answer:
They will meet in 5 hours.
Step-by-step explanation:
This question should ask how long until they meet.
Matt drives at a rate of 40 miles per hour. Matt drives 50 miles before Kylie begins traveling.
So the total distance for Matt is given by:
[tex]M(t) = 40t + 50[/tex]
Kylie drives at a rate of 50 miles per hour.
When he starts(at position 0), Matt will be already at 50. So Kylie's equation is given by:
[tex]K(t) = 50t[/tex]
How many hours until they meet?
This is t for which:
[tex]K(t) = M(t)[/tex]
So
[tex]50t = 40t + 50[/tex]
[tex]10t = 50[/tex]
[tex]t = \frac{50}{10}[/tex]
[tex]t = 5[/tex]
They will meet in 5 hours.
