Answer
11.13 s
Work Step by Step
First, we must convert the values in km/h to m/s. To do that, we do the dimensional analysis or simply divide by 3.6.
135 km/h = 37.5 m/s
95 km/h = 26.4 m/s
We take the difference of the speeds to make one relative to the other:
37.5 - 26.4 = 11.1 m/s
We set up an equation with $x$ being change in distance and $t$ being time
$37.5(t+1) = x$
we set the other equation relating time and distance, using the kinematic equations that utilize acceleration:
$x = 26.4t + \frac{1}{2} (2.6) t^{2}$.
We solve for the system of equations and solve for the time, which is 11.13 s before they meet again.
