Visual guide showing the formulas for distance, speed, and time using a triangle method.

Let’s work through this step by step.

We are given three formulas that show how Distance, Speed, and Time are related:

1. Distance = Speed × Time
2. Time = Distance ÷ Speed
3. Speed = Distance ÷ Time

These are not three separate rules — they’re all the same relationship, just rearranged depending on what you’re trying to find.

Think of it like a triangle (as shown in the image):
- If you cover “Distance”, you see “Speed × Time” → so Distance = Speed × Time
- If you cover “Time”, you see “Distance over Speed” → so Time = Distance ÷ Speed
- If you cover “Speed”, you see “Distance over Time” → so Speed = Distance ÷ Time

This is called the “formula triangle” trick — it helps you remember how to rearrange the formula without memorizing all three versions.

✔ Let’s verify with an example:

Suppose you drive at 60 km/h for 2 hours.
→ Distance = Speed × Time = 60 × 2 = 120 km ✔️

Now, if you know you traveled 120 km at 60 km/h, how long did it take?
→ Time = Distance ÷ Speed = 120 ÷ 60 = 2 hours ✔️

If you know you went 120 km in 2 hours, what was your speed?
→ Speed = Distance ÷ Time = 120 ÷ 2 = 60 km/h ✔️

All three formulas give consistent answers — they’re just different ways to use the same information.

So, the key idea is:
You only need to remember one formula:
> Distance = Speed × Time

Then, if you need to find Speed or Time, you can rearrange it using basic algebra — or use the triangle visual to help.

Final Answer:
The three equations are different forms of the same relationship: Distance = Speed × Time. You can rearrange it to solve for any one variable if you know the other two.