What is the rate of change if a car travels 60 miles
in 100 minutes?

The rate of change of a car that travels 60 miles in 100 minutes would be 0.01 miles per second.

The rate of change of a moving body is the displacement of the body per unit of time. Displacement in itself means the tendency to move from a point to another point.

The car travels 60 miles in 100 minutes

There are 100 x 60 seconds in 100 minutes

                           = 6000 seconds

60 miles in 6000 seconds

The miles traveled per second would be = 60 x 1/6000

                                                          = 0.01 mile per second

Hence, the car was getting displaced at an average rate of 0.01 miles per second.

More on the rate of change can be found here: link

Explanation:

speed = distance/time

If you have the distance, and you want the time it takes to transverse it, you’ll want to flip the speed into its inverse, 1/v, or by the ratio that is the rate of change in time per change in distance, and multiply that by the change in distance. Then the change in distance units cancel each other out. And you are left with units of time.

t = distance * 1/v

or

t = distance * (change in time / change in distance)

100 miles * 1/v = 100 miles * 1/(60 miles/1 hour)

= 100 * 1 hour/60 miles = 5/3 hours

To change to minutes:

5/3 hours = 5 hours/3 * 60 minutes/1 hours = 100 minutes

If you multiply the speed, which is a rate of change in distance per change in time, by the change in time, you’ll get change in distance. This is because the time units cancel out.

v = speed = delta distance / delta time

v*t = distance

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