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In a journey of 160 km, a train covers the distance 120 km at a speed of 80 km/h and the remaining distance at 40 km/h. The average speed of the train for the whole journey is
- a)60 km/h
- b)64 km/h
- c)68 km/h
- d)72 km/h
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a journey of 160 km, a train covers the distance 120 km at a speed ...
Tot al t ime taken for the journey
160/2.5 = 64 km/h
Most Upvoted Answer
In a journey of 160 km, a train covers the distance 120 km at a speed ...
Tot al t ime taken for the journey
160/2.5 = 64 km/h
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In a journey of 160 km, a train covers the distance 120 km at a speed ...
Average Speed of Train for Whole Journey
To find the average speed of the train for the whole journey, we need to use the formula:
Average speed = Total distance / Total time
Let's first calculate the total distance covered by the train, which is 160 km.
Now, we need to find the total time taken by the train. We can do this by dividing the total distance by the respective speeds and then adding the times taken for both parts of the journey.
Time taken for the first part of the journey (120 km at 80 km/h):
Time = Distance / Speed
Time = 120 / 80
Time = 1.5 hours
Time taken for the second part of the journey (40 km at 40 km/h):
Time = Distance / Speed
Time = 40 / 40
Time = 1 hour
Total time taken by the train for the whole journey:
Total time = Time taken for first part + Time taken for second part
Total time = 1.5 + 1
Total time = 2.5 hours
Now, we can use the formula to find the average speed of the train for the whole journey:
Average speed = Total distance / Total time
Average speed = 160 / 2.5
Average speed = 64 km/h
Therefore, the average speed of the train for the whole journey is 64 km/h, which is option (b).
To find the average speed of the train for the whole journey, we need to use the formula:
Average speed = Total distance / Total time
Let's first calculate the total distance covered by the train, which is 160 km.
Now, we need to find the total time taken by the train. We can do this by dividing the total distance by the respective speeds and then adding the times taken for both parts of the journey.
Time taken for the first part of the journey (120 km at 80 km/h):
Time = Distance / Speed
Time = 120 / 80
Time = 1.5 hours
Time taken for the second part of the journey (40 km at 40 km/h):
Time = Distance / Speed
Time = 40 / 40
Time = 1 hour
Total time taken by the train for the whole journey:
Total time = Time taken for first part + Time taken for second part
Total time = 1.5 + 1
Total time = 2.5 hours
Now, we can use the formula to find the average speed of the train for the whole journey:
Average speed = Total distance / Total time
Average speed = 160 / 2.5
Average speed = 64 km/h
Therefore, the average speed of the train for the whole journey is 64 km/h, which is option (b).
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In a journey of 160 km, a train covers the distance 120 km at a speed of 80 km/h and the remaining distance at 40 km/h. The average speed of the train for the whole journey isa)60 km/hb)64 km/hc)68 km/hd)72 km/hCorrect answer is option 'B'. Can you explain this answer?
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