A train passes a pole in 15 seconds and a platform 100 m long in 25 seconds. Then find the length of the train.
Answer & explanation
Correct answer: option 2
Speed = \(\frac{ Distance}{ Time}\)
Let the length of the train be x
According to the question,
Speed = \(\frac{x }{ 15}\) ------1st equation
Speed = \(\frac{\text{x + 100} }{ 25}\) --------2nd equation
Therefore, we can say that:
\(\frac{x }{ 15}\) = \(\frac{\text{x + 100} }{ 25}\)
25x = 15x + 1500
10x = 1500
x = 150
So, the length of train is 150 m