Speed, Distance, Time Game
Mean, median, and mode are measures of central tendency in statistics that help describe the center of a data set.
Scroll down the page for a more detailed explanation.
This game helps you master the fundamental physics and math formula \(d = s \times t\). It includes four game modes: finding speed, distance, time, or a mixed challenge.
 

Speed · Distance · Time

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⚡ Find Speed 📏 Find Distance ⏱️ Find Time 🎲 Mixed Challenge

 

How to Play the Speed, Distance, Time Game
Here’s how to play:

1. Start: Each Quiz consists of 10 questions. Choose your mode: Speed, Distance, Time, or Mixed Problems.
   
2. Look at the Problem: Work out the problem. (Speed, distance, or time)
   
3. Select Your Answer: Select the correct answer.
   
4. Check Your Work: If you selected the right answer, it will be highlighted in green. If you are wrong, it will be highlighted in red and the correct answer will be highlighted in green.
   
5. Get a New Problem: Click “Next Challenge” for a new problem.
   Your score is tracked, showing how many you’ve gotten right.
   
6. Finish Game When you have completed 10 questions, click “Finish Game” to get your final score.
    
   

The Speed, Distance, and Time Formula
The relationship between speed, distance, and time describes how fast an object is moving over a certain path for a specific duration. This relationship is often summarized by a single master formula that can be rearranged to solve for any of the three variables.
The Core Relationship
The concept of speed is defined as the rate at which distance is covered over time.
\(\text{Speed} = \frac{\text{Distance}}{\text{Time}}\)
This leads to the “master formula,” which is usually the easiest to remember:
The Master Formula (Solving for Distance)
The total Distance traveled is equal to the Speed multiplied by the Time taken.
\(\text{Distance} = \text{Speed} \times \text{Time}\)
\(D = S \times T\)

Variations of the Formula
The beauty of this relationship is that if you know any two variables, you can solve for the third by simply rearranging the formula.
A. Solving for Speed
If you know the distance traveled and the time it took, you can find the average speed of the object.
\(\text{Speed} = \frac{\text{Distance}}{\text{Time}}\)
\(S = \frac{D}{T}\)
Example: A car travels 200 kilometers in 4 hours.
\(S = \frac{200 \text{ km}}{4 \text{ h}} = 50 \text{ km/h}\)
B. Solving for Time
If you know the total distance and the speed at which the object is moving, you can calculate how long the journey will take.
\(\text{Time} = \frac{\text{Distance}}{\text{Speed}}\)
\(T = \frac{D}{S}\)
Example: A runner needs to cover 100 meters at an average speed of 5 meters per second.
\(T = \frac{100 \text{ m}}{5 \text{ m/s}} = 20 \text{ seconds}\)

Importance of Consistent Units
In all these calculations, it is crucial that the units are consistent.
For example:
If Distance is in km, and Time is in hours, Speed must be in km/h.
If Speed is in m/s, Distance must be in meters, and Time must be in seconds.

Conversion Tip:
To convert speed from \(\text{km/h}\) to \(\text{m/s}\):
\(\text{Speed in m/s} = \text{Speed in km/h} \times \frac{1000}{3600}\)
(Since \(1 \text{ km} = 1000 \text{ m}\) and \(1 \text{ h} = 3600 \text{ s}\))
\(\text{Speed in m/s} = \text{Speed in km/h} \div 3.6\)

This video gives a clear, step-by-step approach to learn how to use the Speed, Distance, Time Formula.

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