Solving Real-Life Rational Equations: Grade 8 Challenge

A car travels a distance of 120 miles at a speed of x miles per hour. If the trip takes 3 hours, what is the value of x?

• 60

• 30

• 40

• 50

The sum of two fractions is 3/4. If one fraction is 1/2, what is the other fraction?

• 3/8

• 1/4

• 1/3

• 2/4

A recipe requires 2/3 cup of sugar for every 1/4 cup of flour. If you use x cups of flour, how much sugar do you need?

• (8/3)x

• (5/2)x

• (3/4)x

• (1/2)x

A tank can be filled by a pipe in 5 hours and emptied by another pipe in 10 hours. If both pipes are open, how long will it take to fill the tank?

• 10 hours

• 20 hours

• 15 hours

• 5 hours

The length of a rectangle is 3 meters more than its width. If the area of the rectangle is 40 square meters, what are the dimensions of the rectangle?

• Width: 6 meters, Length: 9 meters

• Width: 3 meters, Length: 6 meters

• Width: 4 meters, Length: 7 meters

• Width: 5 meters, Length: 8 meters

A cyclist travels 15 miles in x hours. If the cyclist's speed is 5 miles per hour, what is the value of x?

• 5

• 4

• 3

• 2

A swimming pool can be filled in 6 hours. If a hose can fill the pool in x hours, how long will it take if both the hose and the main water supply are used together?

• x / 6

• 6 - x

• x + 6

• 6x / (x + 6)

The total cost of 3 notebooks and 2 pens is $5. If each notebook costs x dollars, what is the cost of each pen if it is $1 less than a notebook?

• 0.4

• 0.8

• 0.6

• 1.0

A train travels 240 miles at a speed of x miles per hour. If the journey takes 4 hours, what is the value of x?

• 50

• 70

• 60

• 80