📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      Train 'R' can cross a pole in 6 seconds and a 240 metres

      long bridge in 10 seconds. Train 'S' whose length is 75% of the length of train 'R' runs in the same direction of train 'R'. If train 'S' crosses train 'R' in 14 seconds, then find the speed of train 'S'.
      A 100 m/s Correct Answer Incorrect Answer
      B 105 m/s Correct Answer Incorrect Answer
      C 110 m/s Correct Answer Incorrect Answer
      D 115 m/s Correct Answer Incorrect Answer
      E 120 m/s Correct Answer Incorrect Answer

      Solution

      Let the length and the speed of the train 'R' be 'x' metres and 's' m/s.
      ATQ,
      (x/s) = 6
      So, 'x' = 6s.........(i)
      Also, {(x + 240) ÷ s} = 10
      Or, 6s + 240 = 10s [from equation (i)]
      Or, 240 = (10s - 6s)
      Or, 's' = (240/4) = 60
      Length of train 'R' = (6 × 60) = 360 metres
      So, length of train 'S' = (360 × 0.75) = 270 metres
      Let the speed of train 'S' be 't' m/s.
      ATQ,
      (360 + 270) ÷ (t - 60) = 14
      Or, 630 = 14 × (t - 60)
      Or, (t - 60) = 45
      So, 't' = 45 + 60 = 105
      Therefore, speed of train 'S' = 105 m/s

      Practice Next
      More Trains Questions
      ask-question