Grade 9 Math: Motion Problems

This worksheet focuses on solving motion problems involving distance, rate, and time for Grade 9 students.

Grade 9 Math AlgebraMotion Problems

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.REI.B.3

Topics

mathalgebramotion problemsdistanceratetimegrade 9

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Grade 9 Math: Motion Problems

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Read each problem carefully and solve for the unknown variable. Show all your work. Remember the formula: Distance = Rate × Time.

1. A car travels at a constant speed of 60 miles per hour for 3.5 hours. How far does the car travel?

2. A train travels 450 kilometers in 5 hours. What is the average speed of the train?

3. A cyclist rides at an average speed of 15 km/h. If she travels a distance of 75 km, how long did she ride?

4. If a plane flies 1200 miles in 2 hours, its speed is miles per hour.

5. A runner covers a distance of 10 miles at a speed of 5 mph. The time taken is hours.

6. To find the distance, you multiply the by the .

7. A car leaves a city at 9:00 AM traveling at 50 mph. Another car leaves the same city at 10:00 AM traveling at 60 mph in the same direction. How long will it take the second car to overtake the first car?

3 hours

4 hours

5 hours

6 hours

8. Two cars are 300 miles apart and start driving towards each other. Car A travels at 55 mph and Car B travels at 45 mph. How long will it take for them to meet?

2 hours

2.5 hours

3 hours

3.5 hours

9. If you increase your speed, the time it takes to cover a certain distance will decrease.

True

False

10. The formula for distance is rate divided by time.

True

False

11. A boat travels 60 miles downstream in 3 hours. The return trip upstream takes 5 hours. What is the speed of the boat in still water and the speed of the current?