Real-Life Rational Equations: Practical Problem Solving

A car travels 120 miles at a constant speed. If it takes 2 hours to complete the trip, what is the speed of the car in miles per hour?

• 60 miles per hour

• 50 miles per hour

• 90 miles per hour

• 75 miles per hour

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. How long will it take to fill the tank if both pipes are open together?

• 2 hours and 10 minutes

• 2 hours and 24 minutes

• 3 hours

• 1 hour and 30 minutes

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 will you need?

• 1.5 cups of sugar

• 1.875 cups of sugar

• 2.5 cups of sugar

• 3 cups of sugar

A cyclist travels 30 miles in 2 hours. If he increases his speed by 5 miles per hour, how long will it take him to travel 60 miles?

• 2 hours

• 4 hours

• 3 hours

• 5 hours

A pool is being filled with water. If the first hose can fill the pool in 5 hours and the second hose can fill it in 3 hours, how long will it take to fill the pool if both hoses are used together?

• 1.875 hours

• 4 hours

• 3.5 hours

• 2 hours

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items and spends $6.00, how many pencils and erasers did the student buy?

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

A train travels 150 miles in 3 hours. If it continues at the same speed, how long will it take to travel 300 miles?

• 8 hours

• 6 hours

• 4 hours

• 10 hours

A gardener can plant a tree in 1/2 hour. If he has 4 trees to plant, how long will it take him to plant all the trees?

• 30 minutes

• 1 hour

• 3 hours

• 2 hours

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 will you need?

• 1 cup of oil

• 3/4 cup of oil

• 2 cups of oil

• 1 and 1/3 cups of oil

A group of friends is sharing a pizza. If the pizza is cut into 8 equal slices and they eat 5 slices, what fraction of the pizza is left?

• 1/2

• 2/8

• 4/8

• 3/8