Cars A and B are racing each other along the same straight road in the following

Question

Cars A and B are racing each other along the same straight road in the following manner: Car A has a head start and is a distance DA beyond the starting line at t=0. The starting line is at x=0. Car A travels at a constant speed vA. Car B starts at the starting line but has a better engine than Car A, and thus Car B travels at a constant speed vB, which is greater than vA.

Part A

How long after Car B started the race will Car B catch up with Car A?

Part B

How far from Car B's starting line will the cars be when Car B passes Car A?

Express your answer in terms of known quantities. (You may use tcatch as well.)

Explanation / Answer

This can be done by considering the relative velocities.
Apply a negative velocity

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