How Far Does a Car Travel in 7 Hours Given Its Speed?

In this article, we will discuss a common problem in physics and travel math - how far a car can travel in a given amount of time when the speed is constant. We will use the example of a car that travels 200 kilometers in 5 hours and determine how far it can travel in 7 hours at the same speed.

Calculating Speed

First, we need to determine the speed of the car. The speed is calculated by dividing the distance by the time taken:

[text{Speed} frac{text{Distance}}{text{Time}} frac{200 text{ km}}{5 text{ hours}} 40 text{ km/h}]

Calculating Distance Traveled in 7 Hours

Now that we know the car's speed, we can calculate the distance it can travel in 7 hours:

[text{Distance} text{Speed} times text{Time} 40 text{ km/h} times 7 text{ hours} 280 text{ km}]

So, the car can travel 280 kilometers in 7 hours at the same speed.

Alternative Methods and Tricks

There are several ways to arrive at the same answer:

Direct Multiplication

One straightforward method is to directly multiply the known distance by the ratio of the times:

[200 text{ km} times frac{7}{5} 200 div 5 times 7 40 times 7 280 text{ km}]

Mental Arithmetic Trick

An easier trick involves simple mental arithmetic, as follows:

[200 text{ km} times frac{7}{5} 200 div 5 times 7 40 times 7 280 text{ km}]

Both methods lead to the same result, demonstrating the consistency of the problem's conditions and the simplicity of the calculations involved.

Conclusion

Understanding the relationship between speed, distance, and time is crucial for solving many real-world problems, especially in travel and physics. By following the steps outlined in this article, you can easily solve similar problems involving changes in distance, speed, and time.

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