When does the jam start?

Imagine a road with two cars, each of length LL. Car 1 gets on the road at t=0t = 0 moving at v1v_{1}, and car 2 gets on the road at t=t2t = t_{2}, moving at v2>v1v_{2} > v_{1}.

At what time does the front of car 2 to get in contact with the back of car 1?

Solve for the case where

v1=20 m/s,v2=25 m/s,t2=100 sv_{1} = 20\text{ m/s}, v_{2} = 25 \text{ m/s}, t_{2} = 100 \text{ s}, and L=5 mL = 5 \text{ m}.

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