How long does it take an automobile traveling in the left lane of a highway at 55.0 km/h to overtake (become even with) another car that is traveling in the right lane at 20.0 km/h when the cars' front bumpers are initially 115 m apart?

It takes 11.83 s.

Step-by-step explanation:

If two objects move in the same direction at different speeds their relative speed = Fastest speed – slowest speed.

The time after which the two objects meet is given by

We know that an car traveling in the left lane of a highway has a speed of  55.0 km/h and the other car has a speed of 20.0 km/h.

The initial distance between them was 115 m, which is equivalent to .

The relative speed is

and the time when the two cars meet is

or