Unit Rates & Conversions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if a car travels 150 miles in 3 hours, the unit rate is 50 miles per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity. For example, if you have 60 apples for 3 baskets, the unit rate is 60 ÷ 3 = 20 apples per basket.

Front

What is the relationship between rates and unit rates?

Back

Rates compare two different quantities, while unit rates express one of those quantities per one unit of the other quantity.

Front

If a car travels 240 miles in 4 hours, what is its speed in miles per hour?

Back

60 miles per hour (240 miles ÷ 4 hours = 60 miles/hour).

Front

How many cups are in 3 pints?

Back

6 cups (since there are 2 cups in 1 pint, 3 pints = 3 x 2 = 6 cups).

Front

What is the formula to convert miles per hour to feet per second?

Back

To convert miles per hour to feet per second, multiply by 1.46667 (1 mile = 5280 feet and 1 hour = 3600 seconds).

Front

If a recipe calls for 4 cups of flour and makes 8 servings, how much flour is needed per serving?

Back

0.5 cups of flour per serving (4 cups ÷ 8 servings = 0.5 cups/serving).

Front

What is the unit rate of 120 calories burned in 30 minutes?

Back

4 calories per minute (120 calories ÷ 30 minutes = 4 calories/minute).

Front

If a person runs 10 miles in 1.5 hours, what is their speed in miles per hour?

Back

6.67 miles per hour (10 miles ÷ 1.5 hours = 6.67 miles/hour).

Front

How many ounces are in 2 quarts?

Back

64 ounces (since there are 32 ounces in 1 quart, 2 quarts = 2 x 32 = 64 ounces).