1. Let's state the problem: We want to understand how to compute distance, time, and speed. 2. The fundamental formula connecting these three quantities is: $$\text{Distance} = \text{Speed} \times \text{Time}$$ This means if you know any two of these values, you can find the third. 3. Important rules: - Speed is how fast something is moving, usually in units like meters per second or kilometers per hour. - Time is how long the movement lasts. - Distance is how far the object travels. 4. To find each quantity: - To find Distance: $$D = S \times T$$ - To find Speed: $$S = \frac{D}{T}$$ - To find Time: $$T = \frac{D}{S}$$ 5. Example: If a car travels at 60 km/h for 2 hours, the distance is: $$D = 60 \times 2 = 120$$ So, the car travels 120 kilometers. 6. If you want to find speed and you know distance and time, say distance is 150 km and time is 3 hours: $$S = \frac{150}{3} = 50$$ So, speed is 50 km/h. 7. If you want to find time and you know distance and speed, say distance is 200 km and speed is 50 km/h: $$T = \frac{200}{50} = 4$$ So, time taken is 4 hours. This formula and these steps help you compute any of the three quantities when the other two are known.