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A train with uniform speed crosses a 162m long platform in 36 seconds and another platform 120 m long in 30 seconds. Which of the following statements are correct A. As the length of the platform is changing, the time taken to cover the distance will also change.  B. Speed of the train is 7 m/seconds. C. The length of the train is more than the length of platform 1. D. Train is 90 meters long. E. Length of both the platforms to be added to find the length of the train. Choose the correct options given below.

A train with uniform speed crosses a 162m long platform in 36 seconds and another platform 120 m long in 30 seconds. Which of the following statements are correct A. As the length of the platform is changing, the time taken to cover the distance will also change.  B. Speed of the train is 7 m/seconds. C. The length of the train is more than the length of platform 1. D. Train is 90 meters long. E. Length of both the platforms to be added to find the length of the train. Choose the correct options given below. Correct Answer Statement A, B, D are correct

Formula Used:

Speed = Distance/time

Calculation:

Let assume the length of the train = x m

For platform 1

Speed = (Length of train + length of platform)/(Time)

⇒ Speed = (x + 162)/36     m/sec.                     .......................(1)

For platform 2

Speed = (Length of train + length of platform)/(Time)

⇒ Speed = (x + 120)/30  m/sec.                      ................... (2)

Speed is uniform 

So,

From equation 1 and equation 2

⇒ (x + 162)/36 = (x + 120)/30    

⇒ 5x + 810 = 6x + 720

⇒ x = 90m

Length of the train is 90m.

Speed = Distance/time

⇒ Speed = (90+ 162)/36 

⇒ Speed = 7 m/seconds

The length of the train is the same. The change in the time taken to cover the distance is because of the difference in length of the platforms.

Conclusion:

Statement A, B and D are correct

The correct option is 3 i.e. Statement A, B and D are correct.

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