Unit Rate
Unit Rates with Fractions
Comparison problems
More Unit Rates with Fractions
Calculate the unit Rate
100

A car goes 180 miles in 3 hours. What is the unit rate in miles per hour? 

60 mph

100

A swimmer completes 2/3 of a lap in 1/6 minute. What is the swimmer's speed in laps per minute?

4 laps per minute

100

John rides 2/3 of a mile in 1/6 of an hour. Jake bikes 6 miles in 2 hours. Who bikes faster? 

John bikes faster

(John 4 miles per hour, Jake 3 miles per hour)

100

Jason drinks 1/2 a gallon of orange juice every 3 days. How many gallons does he drink per day?

1/6

100

What is the unit rate of the ratio 5: 1/7

35

200

A store sells 12 pencils for $3. What is the cost per pencil?

$0.40 per pencil

200

A baker uses 3/8 cup of sugar for 1/4 of a batch of cookies. How many cups of sugar are used per batch?

3/2 cups per batch

200

Market Basket sells 5 pounds of apples for $10. Hannaford sells 3/2 pounds of apples for $4. Which store has the better price per pound? 

Market Basket by $0.67

(Hannaford - $2.67 per pound, Market Basket $2 per pound)

200

A worker pours 90 pounds of concrete for 3/5 of a cubic foot. How many pounds per foot?

150 pounds per foot

200

What is the unit rate of the ratio 4/7 to 8/9? 

36/42 OR 9/14 simplified

300

A runner covers 400 meters in 2 minutes. What is the unit rate in meters per minute?

200 meter per minute
300

A midfielder runs 5/6 of a mile in 1/12 of an hour. How far did the player run in per hour? 

10 miles per hour

300
In a volleyball game, Sally makes 6 serves in 2 minutes. Julie makes 2/3 of a serve in 1/6 of a minute. Who serves more quickly? By how much?

Julie by 1 serve

(Julie makes 4 serves per minute, Sally make 3 serves per minute)

300

Joseph drives 7/8 of a mile in 1/4 of an hour. How many miles does he drive per hour? 

3 1/2 miles per hour

300
What is the unit rate of the ratio 2/5 to 1/3?

6/5

400

A quarterback throws 300 yards in 4 quarters. What is the average number of passing yards per quarter? 

75 yards per quarter

400

A pitcher throws 1/2 mile in 1/60 hour. What is the unit rate in miles per hour?

30 miles per hour

400

Ulta Beauty sells a 4 ounce jar of face cream for $6. Sephora sells a 5/2 ounce jar of face cream for $4. Who has a better price? 

Ulta Beauty has the better deal. 

Ulta $1.50 per ounce, Sephora $1.60

400

John runs 1/7 of a mile in 2/5 of a minute. Calculate the minutes per mile. 

2 4/5 minutes per mile. 

400

What is the unit rate of 3 1/4 : 1 1/2? 

2 1/6

500

A pitcher throws 84 pitches in 6 innings. What is the number of pitches per inning? 

14 pitches per inning

500

A point guard earns 7/10 of an assist in 1/5 of a quarter. How many assists do they earn per quarter? 

7/2 assists per quarter

500

A Porsche travels 3/2 miles in 1/20 hour. A Ferrari travels 72 miles in 2 hours. Which car is faster? 

The Porsche by 6 miles per hour

(Ferrari - 30 mph, Porsche - 36 mph)

500

Lisa plays 2/5 of a song in 1/4 of a minute. Calculate how long it takes her to play 1 song.

5/8 of a minute per song

500
What is the unit rate of 2 2/5 : 3 3/4

48/75