
The velocities they reach are 13.5 ms-1 and 17 ms-1 respectively.
Similar to the problem above, we have:
First car (red) distance at time t = 1/2 × 13.5 (t + t - 15)
Second car (blue) distance at time t = 1/2 × 17 (t + t - 20)
The distance when they meet is the same, so:
1/2 × 13.5 ×(2t - 15) = t = 1/2 × 17 × (2t - 20)
Solving gives:
Time = 19.625 s
Distance = 163.68