Rational Equations in Real-Life Scenarios: Grade 8 Quiz

A car travels a distance of 120 miles at a speed of x miles per hour. If the trip takes 2 hours, write a rational equation to find x and solve for the speed.

• 70 miles per hour

• 80 miles per hour

• 50 miles per hour

• 60 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. Write a rational equation to find the time it takes to fill the tank if both pipes are used together.

• 1.5 hours

• 5 hours

• 2.4 hours

• 3 hours

A recipe requires 3/4 cup of sugar for every 2 cups of flour. If you want to make a batch with 5 cups of flour, write a rational equation to find the amount of sugar needed and solve it.

• 2.5 cups of sugar

• 1.875 cups of sugar

• 3 cups of sugar

• 1.5 cups of sugar

A cyclist travels 15 miles at a speed of 10 miles per hour and then returns at a speed of 5 miles per hour. Write a rational equation to find the total time taken for the round trip and solve it.

• 4.5 hours

• 3 hours

• 5 hours

• 6 hours

A swimming pool can be filled by two hoses. Hose A fills the pool in 5 hours, and Hose B fills it in 3 hours. Write a rational equation to determine how long it will take to fill the pool if both hoses are used together.

• 4 hours

• 2.5 hours

• 1.875 hours

• 3.75 hours

A store sells pencils at a rate of 5 for $2. Write a rational equation to find the cost of x pencils and solve for the cost when x is 20.

• $5.00

• $10.00

• $12.00

• $8.00

A car's fuel efficiency is 30 miles per gallon. If the car has a 12-gallon tank, write a rational equation to find the maximum distance the car can travel on a full tank and solve it.

• 300 miles

• 420 miles

• 240 miles

• 360 miles

A gardener can plant a tree in 1/2 hour. If he has 3 trees to plant, write a rational equation to find the total time needed and solve it.

• 1 hour

• 1.5 hours

• 2 hours

• 3 hours

A water tank has a leak that drains 2 gallons per hour. If the tank holds 50 gallons, write a rational equation to find out how long it will take for the tank to empty and solve it.

• 20 hours

• 25 hours

• 30 hours

• 15 hours

A factory produces x items in 4 hours. If the production rate is 5 items per hour, write a rational equation to find the value of x and solve for the total items produced.

• 15 items

• 20 items

• 25 items

• 10 items