Speed Calculations and Rate of Change for 8th Graders

A car travels 150 miles in 3 hours. What is the average speed of the car in miles per hour?

• 100 miles per hour

• 75 miles per hour

• 30 miles per hour

• 50 miles per hour

If a runner completes a 5-kilometer race in 25 minutes, what is their speed in kilometers per hour?

• 12 km/h

• 10 km/h

• 15 km/h

• 8 km/h

A cyclist rides 60 miles in 2 hours. How much faster is this than a cyclist who rides 45 miles in 1.5 hours?

• 5 mph

• 10 mph

• 0 mph

• 15 mph

A train travels from City A to City B, a distance of 240 miles, in 4 hours. What is the rate of change in speed if it takes 5 hours to return?

• 12 mph

• 20 mph

• 15 mph

• 10 mph

A water tank fills at a rate of 10 liters per minute. How long will it take to fill the tank if it holds 200 liters?

• 15 minutes

• 25 minutes

• 30 minutes

• 20 minutes

A student scores 80% on a test with 50 questions. If they answered 40 questions correctly, what is the rate of correct answers?

• 75%

• 80%

• 90%

• 70%

A factory produces 500 toys in 8 hours. If production increases to 600 toys in the next 8 hours, what is the rate of change in production?

• 20 toys per hour

• 10 toys per hour

• 15 toys per hour

• 12.5 toys per hour

A car's fuel efficiency is 30 miles per gallon. If it drives 120 miles, how many gallons of fuel does it use?

• 4 gallons

• 10 gallons

• 2 gallons

• 6 gallons

A swimmer completes 100 meters in 50 seconds. What is their speed in meters per second, and how does it compare to a swimmer who completes it in 40 seconds?

• The first swimmer's speed is 2 m/s, while the second swimmer's speed is 2.5 m/s.

• The first swimmer's speed is 3 m/s, while the second swimmer's speed is 4 m/s.

• The first swimmer's speed is 1.5 m/s, while the second swimmer's speed is 2.2 m/s.

• The first swimmer's speed is 2.5 m/s, while the second swimmer's speed is 3 m/s.

A delivery truck travels 180 miles in 3 hours. If it increases its speed by 10 miles per hour, how long will it take to travel the same distance?

• 2.57 hours

• 4 hours

• 3.5 hours

• 1.5 hours