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Solving Real-Life Problems with Rational Equations

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?

a)

50 miles

b)

100 miles

c)

200 miles

d)

150 miles

2.

A tank can be filled by two pipes. Pipe A can fill the tank in 4 hours, while Pipe B can fill it in 6 hours. If both pipes are opened together, how long will it take to fill the tank?

a)

3 hours

b)

5 hours

c)

2.4 hours

d)

1.5 hours

3.

A recipe requires 3/4 cup of sugar for every 2 cups of flour. If you want to use 5 cups of flour, how much sugar do you need?

a)

3 cups of sugar

b)

1.875 cups of sugar

c)

1.5 cups of sugar

d)

2.5 cups of sugar

4.

A swimming pool is being filled with water. The pool can hold 1200 gallons, and it is currently filled with 300 gallons. If water is added at a rate of 15 gallons per minute, how long will it take to fill the pool?

a)

45 minutes

b)

90 minutes

c)

120 minutes

d)

60 minutes

5.

A store is having a sale where a shirt is marked down to $24 from its original price. If the discount was 20%, what was the original price of the shirt?

a)

28

b)

20

c)

30

d)

25

6.

A cyclist travels at a speed of 12 miles per hour. If they ride for 1.5 hours, how far will they have traveled?

a)

15 miles

b)

12 miles

c)

18 miles

d)

24 miles

7.

A recipe calls for 2/3 cup of oil for every 1/2 cup of vinegar. If you want to use 1 cup of vinegar, how much oil do you need?

a)

1 and 1/3 cups of oil

b)

3/4 cup of oil

c)

1 cup of oil

d)

2 cups of oil

8.

A water tank is being filled at a rate of 10 liters per minute. If the tank has a capacity of 500 liters, how long will it take to fill the tank?

a)

30 minutes

b)

100 minutes

c)

70 minutes

d)

50 minutes

9.

A car travels 150 miles on 5 gallons of gas. How many miles can it travel on 8 gallons of gas?

a)

300 miles

b)

200 miles

c)

180 miles

d)

240 miles

10.

A school is planning a field trip and needs to rent buses. Each bus can hold 40 students. If there are 150 students going, how many buses are needed?

a)

3

b)

5

c)

6

d)

4