Video: Finding the Average Speed of Two Moving Objects from the Graph of Their Covered Distance with Time

The given figure represents the paths of two trains A and B between two railway stations, where 𝑑 is the distance in kilometres, and 𝑡 is the time in hours. Determine the distance between the two stations, and find the time taken by each train to cover that distance.

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Video Transcript

The given figure represents the paths of two trains A and B between two railway stations, where 𝑑 is the distance in kilometres, and 𝑡 is the time in hours. Determine the distance between the two stations, and find the time taken by each train to cover that distance.

So the first thing we need to do in this problem is determine the distance between the two stations. Well, if we look at trains A and B, they’re both travelling between the two stations. And we can see that both of the trains from start to finish have travelled 90 on the 𝑦-axis. Well, we know that that’s the distance in kilometres.

So therefore, we can say that the distance between the two stations is 90 kilometres. So we’ve answered the first part of the problem.

So now we need to move on to the second part of the problem. And to the second part of the problem, what we need to do is find the time taken by each train to cover that distance. So what we’re gonna do is we’re gonna start with train A. And we need to now determine how long it takes for train A to travel from one station to the other.

Well, if you look at train A, we can see that it started at one hour and it finished its journey at six hours. So therefore, the time taken for train A is gonna be equal to six minus one, which is gonna be equal to five hours.

And then, if we take a look at train B, well this train started its journey at six hours and finished its journey at 10 hours. So therefore, the time taken for train B is gonna be equal to 10 minus six, which is gonna be equal to four hours.

So therefore, we can say that we’ve solved both parts of the question because we’ve determined the distance between the two stations. And that is 90 kilometers. And we found the time taken by each train to cover that distance because it takes train A five hours and train B four hours.

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