Two cars with constant speeds, car B catching up to car A

[Susanem7389]

I'm having trouble finding the equation.

Two cars are traveling along a straight road. Car A maintains a constant speed of 80 km/h and car B maintains a constant speed of 110 km/h. At t=0, car B is 45 km behind car A. (A) How much father will car A travel before car B overtakes it? (B) How much ahead of A will B be 30 seconds after it overtakes A?

 

[LowlyPion]

It's all constant speed,

All you have to know is that V*t = d

 

[Susanem7389]

I'm still not sure how to figure it out.

 

[LowlyPion]

Look at the differences in speed.

How long to make up the difference in distance?

 

[slider142]

Try writing the distance from the position that car B is at t=0 as a function of time (In other words, place your origin at that point. It may help to draw a simple diagram).
For example, d_B(t) = v_Bt = 110t (m). Try finding d_A(t). Since you are measuring both distances from the same origin, you want to find the time t that the functions are equivalent.

Note that this is a very rote approach. Try LowlyPion's intuitive way first.