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Calculate and Display Reaction Time/Elapsed Time Answered

I got my son an Auto World Pro Racing Dragstrip for Christmas.  http://www.youtube.com/watch?v=K3SNzDs_NJI  Great fun out of the box with the starting tree that alerts false starts and  identifies the winner at the end of the track.  It does this with electric eyes in the track for each lane that see when a car passes over it.  Like I said, great fun, but we would like to see
1) the driver's reaction time - the time it takes from the time the light turns green to the time the car moves across the eye at the start - and
2) the elapsed time - the time the car moves across the eye at the start to the time the car crosses the finish.
Ideally, this would be displayed for each lane until reset.  Total elapsed time and MPH are typically displayed in real life... http://atthedragstrip.com/dragstrip101

I believe this can be accomplished using the existing components in the Auto World kit and an Arduino.  The following instructables could prove useful...
https://www.instructables.com/id/Arduino-Controlled-Finish-Line/?ALLSTEPS
https://www.instructables.com/id/After-Dinner-Reaction-Time-Tester/?ALLSTEPS
https://www.instructables.com/id/Reaction-Timer/?ALLSTEPS

I am open to all... better ideas, off the shelf solutions, delivered product, or help developing solution.  This is something I think I could do with step by step instruction but not something I would attempt on my own.  I know just enough to get me in trouble.

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