Speed \(=\frac{\text { distance }}{\text { time }}\) Time \(=\frac{\text { distance }}{\text { speed }}=\frac{20 \mathrm{~km}}{60 \mathrm{~km} \mathrm{~h}^{-1}}=\frac{1}{3} \mathrm{~h}\) \(=\frac{1}{3} \times 60=20\) minutes

Understanding the relationship between speed, distance, and time is crucial in the realm of physics. The speed distance time formula is a fundamental concept that essentially explains how these three variables interact. The formula is stated as Speed = Distance / Time. To solve for one of the variables, we can rearrange the formula accordingly.

For instance, if we need to find the time taken to travel a certain distance at a given speed, we can rearrange the formula to Time = Distance / Speed. It's important to ensure the units for speed and distance are compatible, typically kilometers per hour (km/h) for speed and kilometers (km) for distance when dealing with metric units.

This basic formula is highly versatile and is a stepping stone to solving more complex problems in physics involving motion and time.

Solving physics problems often involves converting units to maintain consistency and accuracy. In the above exercise, we used units conversion to find the time in minutes rather than hours. Units conversion is essential because physicists around the world use different measurement systems, and having a common understanding is crucial for collaboration and communication.

To convert from hours to minutes, you multiply the time in hours by 60, since there are 60 minutes in one hour. For example, \( \frac{1}{3} \) hours equals \( \frac{1}{3} \times 60 = 20 \) minutes. This step is imperative to ensure the correctness of the final answer and to display the time in a unit that is more comprehensible for daily use.

Tackling physics problems effectively requires a methodical approach. Start with understanding the problem, identifying what is given and what needs to be found. Next, represent this with appropriate formulas. For example, in our problem, we began with the given distance and speed to find the time. Always write down the known values and the formula:

Distance = 20 km, Speed = 60 km/h, Time = Distance / Speed.

Next, insert the values into the formula, simplifying and solving step by step. After finding the answer, reflect on whether the result makes sense and if the units are in the most practical form for interpretation. A systematic approach minimizes errors and enhances problem-solving skills.

Motion and time are deeply intertwined in physics. Motion refers to the change in position of an object over time. Hence, understanding time and its measurement is critical in analyzing motion. In physics problems, especially those related to kinematics, we often measure time in seconds, minutes, or hours, depending on the context of the situation.

When solving for motion-related problems, it's essential to use the correct time unit to collaborate with other units like speed and distance effectively. Time's role in motion can be illustrated in graphical representations, like distance-time graphs, which provide a visual understanding of how an object moves over a period. The simplicity and elegance of the relationship among speed, distance, and time allow us to calculate any of these quantities if the other two are known.