Calculate the distance traveled by 2 vehicles(reaching the same point)

1. The problem statement, all variables and given/known data
A car races past a pedestrian crossing at 20 m s-1 (which is well in excess of the speed limit); 10 seconds later a police car travelling at 30 m s-1 passes the pedestrian crossing in pursuit of the offender. Assuming that both cars maintain constant speeds, how far from the crossing will the police car catch the speeding car?

2. Relevant equations
I was thinking I would use x=vt (‘x’ being displacement) and solve using a simultaneous equation

3. The attempt at a solution
Speeding car:

Police car:

I’m not sure where to go from here

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