Solving Real-Life Problems with Rational Equations

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?

• 50 miles

• 100 miles

• 200 miles

• 150 miles

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?

• 3 hours

• 5 hours

• 2.4 hours

• 1.5 hours

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?

• 3 cups of sugar

• 1.875 cups of sugar

• 1.5 cups of sugar

• 2.5 cups of sugar

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?

• 45 minutes

• 90 minutes

• 120 minutes

• 60 minutes

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?

• 28

• 20

• 30

• 25

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

• 15 miles

• 12 miles

• 18 miles

• 24 miles

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?

• 1 and 1/3 cups of oil

• 3/4 cup of oil

• 1 cup of oil

• 2 cups of oil

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?

• 30 minutes

• 100 minutes

• 70 minutes

• 50 minutes

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

• 300 miles

• 200 miles

• 180 miles

• 240 miles

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?

• 3

• 5

• 6

• 4