Rates, Ratios, and Proportions Word Problems

The table below show the number of miles ran, y, in x, minutes. Determine if the table represents a proportional relationship.

• The table above does represent a proportional relationship because all of the y/x ratios = 1/3.

• The table above does represent a proportional relationship because all of the y/x ratios = 3.

• The table above does not represent a proportional relationship.

Mr. Foster drove 160 kilometers in 2 hours. What is the distance he can travel in 6 hours?

• 540

• 48

• 480

• 54

20 pencils

24 pencils

96 pencils

48 pencils

• 20 pencils

• 24 pencils

• 96 pencils

• 48 pencils

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number c of cats.

• c=15

• c=18

• c=21

• c=16

88 students for 4 classes
How many students per class?

• 22 students per class

• 22 classes per student

• 25 students per class

• 25 classes per student

Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?

• 8 minutes

• 9 minutes

• 16 minutes

• 18 minutes

Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

• $50 per hour

• $12 per hour

• $192 per hour

• $25 per hour

Kyle entered a pie eating contest.  He took 1/5 of a minute to eat 1/2 of a pie.  How many pies can Kyle eat per minute?

• 2 and 1/2 minutes per pie

• 2/5 of a minute per pie

• 2 and 1/2 pies per minute

• 2/5 of a pie per minute

Jada can read 3/5 of a book in 1/4 of an hour.  How long would it take her to read one whole book?

• 2 and 2/5 books per hour

• 2 and 2/5 hours per book

• 5/12 of an hour per book

• 5/12 of a book per hour

Solve the proportion:

• 4

• 8

• 14

• 10