a car traveling 64 miles per hour passes a bus traveling 53 mph in the same direction on the highway, if they maintain their speeds, how long will it take them to be 17.5 miles apart

So the distance between them is changing at 64-53 or 11 mph

time for that distance to reach 17.5 miles
= 17.5/11 hrs
= 1.59 hrs or appr 1 hour and 35 minutes.

To find the time it takes for the car and the bus to be 17.5 miles apart, we can use the concept of relative speed.

The relative speed between the car and the bus is the difference between their speeds. In this case, it is calculated as:

Relative speed = Speed of the car - Speed of the bus

Relative speed = 64 mph - 53 mph = 11 mph

This means that the car and the bus are moving away from each other at a relative speed of 11 miles per hour.

To calculate the time it takes for them to be 17.5 miles apart, we can use the formula:

Time = Distance / Speed

Substituting the values we have:

Time = 17.5 miles / 11 mph ≈ 1.59 hours

Therefore, it will take them approximately 1.59 hours to be 17.5 miles apart.