Question

Kylie and Matt are driving out of town, leaving from the same house in

Answer 1

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:

$M(t) = 40t + 50$

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:

$K(t) = 50t$

How many hours until they meet?

This is t for which:

$K(t) = M(t)$

So

$50t = 40t + 50$

$10t = 50$

$t = \frac{50}{10}$

$t = 5$

They will meet in 5 hours.