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A train covers half of its. with Journey with a • speed of 30 ms and other half -speld of yoms". Catalate its average speed for entire journey.?
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Calculation of Average Speed of Train


Given Information:


  • Train covers half of its journey with a speed of 30 m/s

  • Train covers the other half of its journey with a speed of y m/s



Formula:

Average Speed = Total Distance / Total Time


Calculation:


  • Let's assume that the total distance covered by the train is 'd'

  • So, the distance covered in the first half of the journey will be 'd/2'

  • And, the distance covered in the second half of the journey will also be 'd/2'

  • Time taken to cover the first half of the journey will be (d/2) / 30 = d/60

  • Time taken to cover the second half of the journey will be (d/2) / y = d/(2y)

  • Total time taken for the entire journey will be d/60 + d/(2y) = (d(1+3y))/(60y)

  • Therefore, the average speed of the train for the entire journey will be:


Average Speed = Total Distance / Total Time

Average Speed = d / [(d(1+3y))/(60y)]

Average Speed = (60y)/(1+3y) m/s


Explanation:

The above formula and calculation are used to find the average speed of a train for the entire journey, given the speeds of the train for different parts of the journey. In this case, the train covered half of its journey with a speed of 30 m/s and the other half with a speed of y m/s. Firstly, we assumed that the total distance covered by the train is 'd'. Then, we calculated the time taken to cover each half of the journey using the distance and speed given. Using the total time taken for the entire journey, we calculated the average speed of the train using the above formula. The final result is given in m/s.
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A train covers half of its. with Journey with a • speed of 30 ms and other half -speld of yoms". Catalate its average speed for entire journey.?
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