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Question

Tejas Express moving at 118 km/hr crosses a platform in 9 seconds and a man standing on the platform in 12 seconds. Find the length of the platform?

  • 733
  • 844
  • 955
  • none
Answer- B

Speed of train in m/s= 118* 5/18 = 295/9 m/s

Length of the train = Speed * Time (time taken to cross the man)

= 295/9 x 12 = 393.33 meters

Now, the time taken to cross the platform is = total distance/ speed of train

Total distance covered = length of train + length of platform

Let the length of platform is X then the total distance = 393.33 + X

Speed of train= 295/9 m/s

Time =(393.33 + X)/295/9

9 = (393.33 + X)*9/295

2655 = 3539.97+9X

-844.97 = X or X= 844.97 meters