- #1

- 726

- 166

## Homework Statement

A person takes a trip, driving with a constant speed of 94.0 km/h except for a 22.0-min rest stop. The person's average speed is 71.5 km/h.

(a) How much time is spent on the trip?

(b) How far does the person travel?

This is for introductory general physics. We just finished the first chapter on motion in one dimension. We derived the kinematics equations today, but I can't seem to apply one of the standard kinematics to this. I don't know what I'm missing here.

## The Attempt at a Solution

I let the total displacement equal

[tex]\Delta{x}=v_{1}t_{1} \ \ \ \ \ v_{1}=94.0km/hr[/tex]

[tex]\Delta{t}=t_{1}+t_{2} \ \ \ \ \ t_{2}=22.0min \ \ \ rest \ stop[/tex]

[tex]\Delta{x}=v_{2}(t_{1}+t_{2}) \ \ \ \ v_{2}=71.5km/hr \ \ average \ speed[/tex]

Then I set the two [itex]\Delta{x}[/itex] values equal to each other.

[tex]v_{1}t_{1}=v_{2}(t_{1}+t_{2})[/tex]

Now I need to solve for [itex]t_{1}[/itex], but I can't find a way of doing so that will work. I feel like I'm making this a lot more complicated than it needs to be. Anyone have any suggestions?