Two buses are driving along parallel freeways that are 5mi apart, one heading east and the other heading west. Assuming that each bus drives a constant 55 mph, find the rate at which the distance between the buses is changing when they are 13mi apart, heading toward each other.

The rate of change of distance between the two cars when they are 13 miles apart is 71.1 mph.

The given parameters;

The time of motion of the car when they are 5 miles apart;

The distance traveled by the cars when they are 13 miles apart

The displacement of the two cars when they are 13 miles apart;

The change in the displacement;

Thus, the rate of change of distance between the two cars when they are 13 miles apart is 71.1 mph.

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101.54m/h

Explanation:

Given that the buses are 5mi apart, and that they are both driving at the same speed of 55m/h, rate of change of distance can be determined using differentiation as;

Let l be the be the distance further away at which they will meet from the current points;

#The speed toward each other.

Hence, the rate at which the distance between the buses is changing when they are 13mi apart is 101.54m/h

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