Understanding ratio notation, rate language and unit rates

Charles walked 4 miles in 1/4 of an hour. How many miles will he walk in an hour?

• 10 miles

• 14 miles

• 16 miles

• 4 miles

A river current carried a fallen tree branch 1/3 of a mile in 1/4 of an hour.

At what speed is the water in the river flowing, in miles per hour?

• 1 1/3

• 4/3

• 1/3

• 1/4

A bathtub is draining at a constant rate. After 6 minutes, the tub has drained by 7.38 gallons. What is the rate in gallons per minute that the tub is draining?

• -0.81 gallons per minute

• -7.38 gallons per minute

• -1.38 gallons per minute

• -44.28 gallons per minute

Lauren bikes 4/3 miles in 1/10 hour. How long does it take her to bike one mile?

• 15/2 hours

• 2/15 hours

• 40/3 hours

• 3/40 hours

Lekhera ran 4/5

of a yard in 2 seconds. How fast did she run?

• 4/5 yards per second

• 1/5 yards per second

• 2/5 yards per second

• 3/10 yards per second

Mrs. Reeds is running water for a bath. 10 liters is flowing every 3 minutes from the faucet. How much is flowing per minute?

FIRST STE: HOW WOULD WE SET THIS PROBLEM UP?

Michael plays 1/5 of a song in 1/15 of a minute. How many songs can he play in one minute? (Write answer as a simplified fraction or mixed number.)

• 75 songs

• 1/3 of a song

• 3 songs

• 5 songs

Find the unit rate: 1/3 of a pint of icing for 1/4 of a dozen donuts

• 1/12 pints per dozen

• 3/4 pints per dozen

• 4/3 pints per dozen

• 12 pints per dozen

A bakery uses 3/5 of a cup of flour to make 1/4 of a cake. What is the unit rate of flour in cups per cake?

• 2 2/5

• 4/5

• 3/20

• 1 1/4