Question

It takes a high-speed train $25$ minutes to travel $240km$. How do you calculate the average speed of the train in kilometers per hour?

Answer 1

Hint: We know that the speed traveled could be calculated as distance covered by the time taken. We can also say that the average speed is nothing but the displacement divided by the time taken. We can obtain the speed of the train in kilometers per hour by converting the value of time (in minutes) to hours. We also use the conversion factor to obtain the value in kilometers per hour.

Complete step by step answer:
Given data contains,
Time taken to travel is $25$ minutes.
Distance covered is $240km$.
Let us now convert the value in minutes to hours.
We know that minutes could be converted to hours by dividing the given value by \[60\]. The time taken in hours could be obtained as,
Time taken=$25\min \times \dfrac{{hr}}{{60\min }}$
Time taken=$0.416667hr$
The time taken in hours is $0.416667hr$.
We know that the average speed could be calculated as,
Average speed=$\dfrac{{Distance\,\, travelled}}{{Time\,\, taken}}$
Let us now substitute the values of distance traveled and time taken in the equation.
Average speed=$\dfrac{{Dis\tan ce\,\, travelled}}{{Time\,\, taken}}$
Average speed=$\dfrac{{240km}}{{0.416667hr}}$
Average speed=$576km/hr$
We have calculated the average speed of the train in kilometers per hour as $576km/hr$.

Note: Using the conversion factor, we can calculate the average speed of the train as, The conversion factor to convert $km/\min $ to $km/hr$ is $60$.
Given data contains,
Time taken to travel is $25$minutes.
Distance covered is $240km$.
So, the average speed of the train is,
Average speed=$\dfrac{{Distance\,\, travelled}}{{Time\,\, taken}} \times 60$
Let us now substitute the values of distance traveled and time taken.
Average speed=$\dfrac{{Distance\,\, travelled}}{{Time\,\, taken}} \times 60$
Average speed=$\dfrac{{240km}}{{25\min }} \times 60$
Average speed=$576km/hr$
We have calculated the average speed of the train in kilometers per hour as $576km/hr$.