How long does it take an automobile traveling

68.5 km/h to become even with a car that is
traveling in another lane at 56.5 km/h if the
cars’ front bumpers are initially 145 m apart?
Answer in units of s.

To find out how long it takes for the two cars to become even, we need to determine the time it takes for the gap between them to close.

First, we need to find the relative speed between the two cars. Since one car is traveling at 68.5 km/h and the other at 56.5 km/h, the relative speed is the difference between these two speeds:

Relative speed = 68.5 km/h - 56.5 km/h = 12 km/h

Next, we convert the relative speed to meters per second (m/s) as the initial distance between the cars is given in meters (m):

12 km/h = (12 * 1000 m) / (3600 s) = 3.33 m/s

Now, we can calculate the time it takes for the cars to become even by dividing the initial distance between the cars by the relative speed:

Time = Distance / Speed = 145 m / 3.33 m/s ≈ 43.54 s

Therefore, it takes approximately 43.54 seconds for the two cars to become even.