How long does it take an automobile traveling 62.9 km/h to become even with a car that is traveling in another lane at 48.9 km/h if the cars’ front bumpers are initially 130 m apart?

Answer in units of s.

.13km / (62.9-48.9)km/hr = 0.00928 hr

now make that into seconds

To find the time it takes for the two cars to become even, we need to divide the initial distance between them by the relative speed at which they are approaching each other.

The relative speed between the two cars is the sum of their individual speeds:
Relative speed = Speed of the first car + Speed of the second car

Therefore, the relative speed is:
Relative speed = 62.9 km/h + (-48.9 km/h)
= 14 km/h

Since the speeds are given in kilometers per hour (km/h), we need to convert the speed to meters per second (m/s) to match the initial distance given in meters.

1 km/h is equal to (1000 m / 3600 s) = 0.2778 m/s

Converting the relative speed to m/s:
Relative speed = 14 km/h * 0.2778 m/s
= 3.8912 m/s

Now we can calculate the time it takes for the two cars to become even:

time = distance / relative speed

Substituting the values:
time = 130 m / 3.8912 m/s

Calculating the time:
time = 33.41 seconds

Therefore, it will take approximately 33.41 seconds for the two cars to become even.