The average speed of the train is 100 km/hr
Speed refers to the rate of change in distance.
It is calculated by dividing distance by time taken.
[tex]Speed=\frac{Distance}{time}[/tex]
Average speed is calculated by dividing the total distance covered and the total time taken.
[tex]Average speed = \frac{Total distance}{total time taken}[/tex]
In this case;
Total distance covered by the train = 80 km + 200 Km + 420 km
= 700 km
Total time taken = 1 hr + 2 hrs + 4 hrs
= 7 hrs
Therefore;
Average speed = 700 km ÷ 7 hrs
= 100 km/hr
Thus, the average speed of the train is 100 km/hr
The average speed of the train that covers 80 km in 1 hour, 200 km in 2 hours, and 420 km in 4 hours is 100 Km/h
Average speed is defined as the total distance travelled divided by the total time taken. Mathematically, it is expressed as:
[tex]Average speed = \frac{Total distance}{total time }\\\\[/tex]
With the above formula, we can obtain the average speed of the train as illustrated below:
Total distance = 80 + 200 + 420 = 700 Km
Total time = 1 + 2 + 4 = 7 hours
[tex]Average speed = \frac{Total distance}{total time}\\\\ Average speed = \frac{700}{7} \\\\[/tex]
Therefore, the average speed of the train is 100 Km/h
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