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A person covers half his journey by train at 60 km per hour ,the remainder half by bus at 30 km /h and the rest by cycle at 10 km/h find his average speed during his entire journey.
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A person covers half his journey by train at 60 km per hour ,the rema...
To find the average speed, we need to calculate the total distance traveled and the total time taken.
Let's assume the total distance of the journey is "d" kilometers.
The person covers half of the journey by train, which is d/2 kilometers. The time taken for this part of the journey is (d/2) / 60 hours.
The person covers the remainder half by bus, which is also d/2 kilometers. The time taken for this part of the journey is (d/2) / 30 hours.
The rest of the journey is covered by cycle, which is also d/2 kilometers. The time taken for this part of the journey is (d/2) / 10 hours.
The total time taken for the entire journey is:
[(d/2) / 60] + [(d/2) / 30] + [(d/2) / 10]
To find the average speed, we divide the total distance by the total time:
Average Speed = Total Distance / Total Time
Average Speed = d / {[(d/2) / 60] + [(d/2) / 30] + [(d/2) / 10]}
Simplifying the expression, we get:
Average Speed = 2d / [(d/60) + (d/30) + (d/10)]
Average Speed = 2d / [(2d + 4d + 6d) / 60]
Average Speed = 2d / (12d / 60)
Average Speed = 60 km/h
Therefore, the average speed during the entire journey is 60 km/h.
Let's assume the total distance of the journey is "d" kilometers.
The person covers half of the journey by train, which is d/2 kilometers. The time taken for this part of the journey is (d/2) / 60 hours.
The person covers the remainder half by bus, which is also d/2 kilometers. The time taken for this part of the journey is (d/2) / 30 hours.
The rest of the journey is covered by cycle, which is also d/2 kilometers. The time taken for this part of the journey is (d/2) / 10 hours.
The total time taken for the entire journey is:
[(d/2) / 60] + [(d/2) / 30] + [(d/2) / 10]
To find the average speed, we divide the total distance by the total time:
Average Speed = Total Distance / Total Time
Average Speed = d / {[(d/2) / 60] + [(d/2) / 30] + [(d/2) / 10]}
Simplifying the expression, we get:
Average Speed = 2d / [(d/60) + (d/30) + (d/10)]
Average Speed = 2d / [(2d + 4d + 6d) / 60]
Average Speed = 2d / (12d / 60)
Average Speed = 60 km/h
Therefore, the average speed during the entire journey is 60 km/h.
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A person covers half his journey by train at 60 km per hour ,the remainder half by bus at 30 km /h and the rest by cycle at 10 km/h find his average speed during his entire journey. Related: Introduction & Important Concepts: Averages?
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