# Unit Rate Calculator

Enter two quantities and their units of measure to calculate the unit rate.

## Calculated Rate:

5.714 feet per second (ft/s)
Learn how we calculated this below

## How to Calculate Unit Rate

Unit rate, or just rate, is a measure of one quantity compared to another quantity. A unit rate is a ratio of a measurement in one unit to a measurement in another unit.

Most often, we use rates to represent a change in one quantity relative to a change in another quantity. For example, velocity, or speed, is a rate, which is defined as the change in distance relative to the change in time.

Another example of a rate is the rate of home construction, which is the number of homes built over a specified period of time. Rates can be found being used in many different aspects of life.

### Unit Rate Formula

So, how do you calculate a rate given two different quantities? Start by using the unit rate formula:

rate = quantity 1 / quantity 2

or for changes in quantities:

rate = (change in quantity 1) / (change in quantity 2)

Thus, rate is equal to the quantity of unit one (or change in quantity of unit 1) divided by the quantity of unit 2 (or change in quantity of unit 2).

Rate is often expressed as “quantity 1 per quantity 2,” as in miles per hour or dollars per day.

For better interpretability, the rate can be simplified to a reduced fraction such that the denominator has a value of 1. For example, think of this as the number of miles per 1 hour or the number of dollars earned per 1 day.

Unit rates are often then even further simplified and expressed as just the numerator with the first quantity unit over the second. For instance, 25 miles/hour or 45 dollars/day.

Another common unit rate is that of unit price, which can also be considered as a rate of price to the quantity. Try our unit price calculator to learn more.

## Rate Calculation Examples

For example, let’s find the rate of speed when you have traveled 100 miles in 4 hours.

rate = 100 miles / 4 hours
rate = 25 miles / 1 hour
rate = 25 miles/hour (mph)

You can verify the result using our speed calculator.

For example, let’s find the rate of an engine that can turn a wheel 2500 revolutions in 10 minutes.

rate = 2500 revolutions / 10 minutes
rate = 250 revolutions / 1 minute
rate = 250 revolutions/minute (rpm)

For example, let’s find the flow rate for 75 gallons of fluid flowed over a 5-minute time period.

rate = 75 gallons / 5 minutes
rate = 15 gallons / 1 minute
rate = 15 gallons/minute (gpm)