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Time, Speed & Distance Practice Quiz

Sharpen your skills with engaging practice questions

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art promoting a Speed, Time and Distance trivia quiz for middle school students.

If a car travels 60 miles in 1 hour, what is its speed in mph?
40 mph
60 mph
20 mph
30 mph
Speed is calculated by dividing the distance by time. Since 60 miles in 1 hour equals 60 mph, that is the correct answer.
A runner covers 2 miles in 16 minutes. What is the runner's average speed in miles per minute?
0.25 miles per minute
0.15 miles per minute
0.1 miles per minute
0.125 miles per minute
Average speed is found by dividing distance by time. Dividing 2 miles by 16 minutes gives 0.125 miles per minute.
If a cyclist maintains a constant speed of 10 mph, how far will they travel in 3 hours?
33 miles
20 miles
30 miles
35 miles
Distance is the product of speed and time. At 10 mph for 3 hours, the cyclist covers 10 x 3 = 30 miles.
Which equation correctly expresses the relationship between speed, distance, and time?
Speed = Distance / Time
Time = Speed + Distance
Distance = Speed / Time
Speed = Time / Distance
The fundamental formula for uniform motion is Speed = Distance divided by Time. This equation accurately relates the three quantities.
What unit is most commonly used to measure speed in the United States?
Kilometers per hour (km/h)
Knots
Meters per second (m/s)
Miles per hour (mph)
In the United States, speed is typically measured in miles per hour, making mph the standard unit for speed measurement.
A train travels 120 miles in 2 hours. What is its speed?
60 mph
100 mph
80 mph
50 mph
Speed is calculated by dividing the distance by time. Dividing 120 miles by 2 hours gives a speed of 60 mph.
If a vehicle travels at 80 mph for 3 hours, what is the total distance covered?
200 miles
250 miles
260 miles
240 miles
Multiplying the speed (80 mph) by the time (3 hours) gives the distance: 80 x 3 = 240 miles.
A person takes 45 minutes to cover 9 miles. What is their speed in mph?
10 mph
12 mph
11 mph
13 mph
First convert 45 minutes to 0.75 hours, then divide 9 miles by 0.75 hours to get 12 mph.
What is the average speed if 150 miles are traveled in 2.5 hours?
55 mph
50 mph
65 mph
60 mph
Dividing 150 miles by 2.5 hours gives an average speed of 60 mph.
A runner increases their speed from 5 mph to 7 mph. Which of the following is true when covering the same distance?
The increase in speed does not affect the time needed for a fixed distance.
At 7 mph, the runner covers more distance in the same time than at 5 mph.
The distance covered at 5 mph is greater than that at 7 mph in equal time.
At 7 mph, the runner takes longer to cover the same distance than at 5 mph.
Speed and distance are directly related when time is fixed. Increasing the speed from 5 mph to 7 mph results in covering a greater distance in the same amount of time.
A car covers 180 miles in 3 hours at a constant speed. If its speed increases by 20 mph, how long will it take to cover the same distance?
3 hours
2.5 hours
2 hours
2.25 hours
The original speed is 60 mph. Increasing it by 20 mph gives 80 mph. Dividing 180 miles by 80 mph yields 2.25 hours.
Two travelers leave the same point at the same time, one at 50 mph and the other at 70 mph. How far ahead is the faster traveler after 2 hours?
20 miles
30 miles
40 miles
50 miles
The faster traveler has a 20 mph advantage. Over 2 hours, this results in a 20 mph x 2 = 40-mile lead.
A pedestrian walks 3 miles in 1 hour. How many minutes does it take to walk 1 mile?
20 minutes
30 minutes
25 minutes
15 minutes
Since 3 miles are covered in 60 minutes, dividing 60 minutes by 3 gives 20 minutes per mile.
If a vehicle's speed increases by 25%, by approximately what percentage does the travel time for a fixed distance decrease?
15% decrease
20% decrease
No change
25% decrease
Increasing speed by 25% means the new time is 1/1.25 (or 80%) of the original time, resulting in a 20% decrease in travel time.
A boat travels 30 miles downstream in 2 hours and the same distance upstream in 3 hours. What is the speed of the current if the boat's speed in still water is 12.5 mph?
5 mph
1.5 mph
2.5 mph
3 mph
Downstream, the speed is 30/2 = 15 mph. Subtracting the boat's still water speed (12.5 mph) gives a current speed of 2.5 mph.
A car travels on a road where 40% of the distance is uphill and 60% is downhill. If the car's speeds are 35 mph uphill and 55 mph downhill, what is its average speed for the entire trip?
40 mph
55 mph
45 mph
50 mph
The average speed is calculated by dividing the total distance by the total time. When combining the uphill time (0.4D/35) and downhill time (0.6D/55), the reciprocal of the sum approximates to 45 mph.
A bicyclist rides to a destination and back along the same route. On the way out, they ride at 12 mph for 2 hours, and on the return, they ride at 8 mph. What is their average speed for the entire trip?
10 mph
9.6 mph
11 mph
8 mph
The distance for the outbound trip is 12 mph x 2 hours = 24 miles; the return trip takes 24/8 = 3 hours. The total distance is 48 miles over 5 hours, yielding an average speed of 9.6 mph.
An athlete runs to a point at 10 mph and returns at a speed that is 20% slower. What is their average speed for the entire round trip?
9 mph
10 mph
8.9 mph
8 mph
The return speed is 10 mph reduced by 20%, which is 8 mph. With equal distances for both legs, the overall average speed is computed to be approximately 8.9 mph.
A car increases its speed from 50 mph to 70 mph. By what approximate percentage does the travel time for a fixed distance decrease?
28.6% decrease
40% decrease
30% decrease
25% decrease
For the same distance, time is inversely proportional to speed. The ratio of times at 70 mph and 50 mph is 50/70 (approximately 0.714), indicating a reduction of about 28.6% in travel time.
A train covers the same distance with the wind and against the wind. If it takes 3 hours with the wind and 4 hours against the wind, and its speed in still air is 60 mph, what is the speed of the wind?
5 mph
10 mph
7 mph
8.57 mph
Let the wind speed be w. Downwind speed is (60 + w) and upwind speed is (60 - w). Equating the distances 3(60+w) = 4(60-w) and solving for w yields approximately 8.57 mph.
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Study Outcomes

  1. Solve problems by applying the relationship between speed, time, and distance.
  2. Analyze word problems to identify given quantities and determine the steps required for a solution.
  3. Calculate unknown values using the appropriate formulas and ensure accuracy in computations.
  4. Interpret and verify results by comparing them to real-world contexts.
  5. Evaluate various solution methods to determine the most efficient approach.

Time Speed & Distance Cheat Sheet

  1. Master the core formulas - Speed = Distance ÷ Time, Distance = Speed × Time, and Time = Distance ÷ Speed form the holy trinity of motion math. Play with them like puzzles until they become second nature and you'll crack any related problem in a flash. BBC Bitesize guide
  2. Practice unit conversions - Converting km/h to m/s by multiplying by 5/18 (and back with 18/5) is like switching gears in a video game - smooth once you get the hang of it. These conversions are key for consistent calculations, so flex those math muscles regularly. GeeksforGeeks tips & tricks
  3. Calculate average speed - Divide the total distance by the total time to find your overall pace, whether you're biking to school or road-tripping with friends. This metric helps you compare different journeys and pick the fastest route next time. GeeksforGeeks formula breakdown
  4. Explore relative speed - When two objects move towards or away from each other, their speeds add or subtract, creating exciting chase scenarios. Mastering this concept lets you solve multi-body problems like a detective tracking clues on the move. GeeksforGeeks practice Qs
  5. Tackle train problems - Imagine two trains passing or a train crossing a station - calculate combined lengths and relative speeds to find the crossing time. This real‑world scenario helps you visualize abstract formulas in action. GeeksforGeeks tips & tricks
  6. See how speed affects time - Crank up the speed on a fixed route and you'll slash the time taken; slow down and time stretches out like taffy. Understanding this inverse relationship is your cheat code for optimizing travel plans. GeeksforGeeks formula breakdown
  7. Handle varying speeds - Journeys often include different speed segments - imagine cycling uphill versus coasting downhill. Break your problem into chunks, apply core formulas to each, then recombine for the full picture. GeeksforGeeks practice Qs
  8. Use the DST triangle - Cover the variable you need (Distance, Speed, or Time) on the DST triangle and the remaining two show the required operation. This mnemonic device banishes formula fog and boosts your confidence. BBC Bitesize guide
  9. Convert different units - Miles, kilometers, feet, and meters love to mingle in real problems - be ready to switch units on the fly. Practicing these conversions ensures your answers stay rock‑solid no matter the measurement system. BYJU'S deep dive
  10. Engage with quizzes - Interactive quizzes and timed practice sets make learning feel like leveling up in a game. Regular challenges reinforce concepts and turn speedy calculations into muscle memory. GeeksforGeeks practice Qs
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