Question

A train covers the first half of the distance between two station at a speed of 10 metre per second and the other half at 40 metre per second. Then what is its average speed for the journey?

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Answer 1

Answer:

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Let the total distance covered by train be 2x metres

We know Time = Distance/speed

Time for first part of journey:

Train Speed = 10 m/s

Distance = half of 2x = x metres

Time taken = x/10 seconds

Time for second part of journey

Train speed = 15 m/s

Distance = half of 2x = x metres

Tine taken = x/15 seconds.

Average speed = total distance/total time

Total distance = 2x

Total time = x/10 + x/15 = (3x + 2x)/30 = 5x/30

Average speed = 2x/5x/30

Average speed = 2x × 30/5x

Average speed = 60/5 meter per second

Average speed = 12 meters per second

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Answer 2

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Explanation: