What is the difference between a rate and a unit rate?

Solution:

The rate of something is measured to compared one quantity with respect to another. For example, speed is measure as the rate of change of position, and acceleration is defined as the rate of change of speed.

Let's compare rate and unit rate with the help of an example;

Let's assume a vehicle travels 80 km in 4 hours. Therefore, its rate is 80 km / 4 hours. The ratio of distance to time = speed

But, to measure unit rate, we consider the distance traveled in 1 unit of time, that is, 1 hour.

If it is given that a vehicle covers 40 km in 1 hour, then it is the unit rate of the vehicle (that is, speed). It can be written as 40 km/hour. The ratio between two different units of measurement for a single unit in the denominator is the unit rate.

Hence, the rate is the ratio between two different units of measurement, and the unit rate is the ratio between two different units of measurement for a single unit in the denominator.

What is the difference between a rate and a unit rate?

Summary:

Rate is the ratio between two different units of measurement, and the unit rate is the ratio between two different units of measurement for a single unit in the denominator.