Solving Real-Life Rational Equations with Cross-Multiplication

A car travels 120 miles in 2 hours. If it continues at the same speed, how long will it take to travel 180 miles? Set up a rational equation and solve for time.

• 2 hours

• 3 hours

• 4 hours

• 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? Create a rational equation and simplify it.

• 1.5 cups of sugar

• 3 cups of sugar

• 2.5 cups of sugar

• 1.875 cups of sugar

A tank can be filled by a pipe in 4 hours and emptied by another pipe in 6 hours. If both pipes are open, how long will it take to fill the tank? Formulate a rational equation and solve it.

• 12 hours

• 8 hours

• 14 hours

• 10 hours

A cyclist travels 15 miles in 1 hour. If he increases his speed by 5 miles per hour, how long will it take him to travel 30 miles? Set up a rational equation and apply cross-multiplication to find the answer.

• 2 hours

• 2.5 hours

• 1.5 hours

• 1 hour

A store sells 3 shirts for $45. If you want to buy 5 shirts, how much will it cost? Create a rational equation to find the total cost and simplify your answer.

• $100

• $75

• $60

• $90

A water tank can be filled in 3 hours and drained in 5 hours. If both the filling and draining are happening simultaneously, how long will it take to fill the tank? Set up a rational equation and solve it.

• 5 hours

• 10 hours

• 4 hours

• 7.5 hours

A recipe calls for 2/3 cup of oil for every 1/2 cup of vinegar. If you want to make a larger batch using 3 cups of vinegar, how much oil do you need? Create a rational equation and simplify it.

• 2 cups of oil

• 5 cups of oil

• 4 cups of oil

• 3 cups of oil

A train travels 180 miles in 3 hours. If it continues at the same speed, how long will it take to travel 300 miles? Set up a rational equation and solve for time using cross-multiplication.

• 4 hours

• 7 hours

• 5 hours

• 6 hours

A gardener can plant 50 flowers in 2 hours. If he works at the same rate, how long will it take him to plant 200 flowers? Formulate a rational equation and solve it.

• 6 hours

• 4 hours

• 10 hours

• 8 hours

A recipe requires 1/4 cup of butter for every 1/3 cup of sugar. If you want to use 2 cups of sugar, how much butter do you need? Create a rational equation and simplify your answer.

• 3/4 cup of butter

• 1.5 cups of butter

• 2 cups of butter

• 1 cup of butter