
The distance between two stations is 240km. A train takes 4 hours to cover this distance. Calculate the speed of the train.
Answer
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Hint: Average speed of a body is defined as the total distance covered by the body divided by the time taken to cover this distance. It is given as $v=\dfrac{d}{t}$. Substitute the values of d and t given in the question.
Formula used:
$v=\dfrac{d}{t}$
Complete step by step answer:
Let us first understand what speed of a moving body.
When a body moves from one point to another, we say that the body moved or the body is in motion. In our daily lives, we see a lot of bodies in motion. We understand the motion of the bodies by a term called speed. Speed of a body is defined as the distance covered by the body in one unit of time.
In the given question we are asked to find the average speed of the train.
Let us understand what average speed is.
Average speed of the body is defined as the total distance covered by the body divided by the time taken to cover this distance.
Suppose a body travels from one point to another point. Say from point A to point B. Suppose the body covers a total distance d and it takes time t to cover this distance. Then the average speed of the train is given as $v=\dfrac{d}{t}$ …. (i).
In the question, it is given that the train covers a distance of 240km in a time interval of 4 hours. Hence, d = 240km and t = 4hours.
Substitute the values of d and t in equation (i).
$v=\dfrac{240}{4}=60km{{h}^{-1}}$.
Hence, the speed of the train is 60km/h.
Note:
Note that average speed and average velocity of a body are different. We already discussed the average speed. Average velocity is the net displacement of the body when it moves from point A to point B divided by the time taken for the body to move from A to B.
Formula used:
$v=\dfrac{d}{t}$
Complete step by step answer:
Let us first understand what speed of a moving body.
When a body moves from one point to another, we say that the body moved or the body is in motion. In our daily lives, we see a lot of bodies in motion. We understand the motion of the bodies by a term called speed. Speed of a body is defined as the distance covered by the body in one unit of time.
In the given question we are asked to find the average speed of the train.
Let us understand what average speed is.
Average speed of the body is defined as the total distance covered by the body divided by the time taken to cover this distance.
Suppose a body travels from one point to another point. Say from point A to point B. Suppose the body covers a total distance d and it takes time t to cover this distance. Then the average speed of the train is given as $v=\dfrac{d}{t}$ …. (i).
In the question, it is given that the train covers a distance of 240km in a time interval of 4 hours. Hence, d = 240km and t = 4hours.
Substitute the values of d and t in equation (i).
$v=\dfrac{240}{4}=60km{{h}^{-1}}$.
Hence, the speed of the train is 60km/h.
Note:
Note that average speed and average velocity of a body are different. We already discussed the average speed. Average velocity is the net displacement of the body when it moves from point A to point B divided by the time taken for the body to move from A to B.
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