📢 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 B which is ‘d’ meter long can cross a pole in

      35 seconds. Train A can cross a platform of (d+10) meter long in (t+45) seconds. The ratio between the lengths of train A and B is 9:7 respectively. Train B can cross train A in (3t-70) seconds.If the difference between the speeds of both trains is 4 m/s, then find out the value of ‘t’.
      A 80 Correct Answer Incorrect Answer
      B 120 Correct Answer Incorrect Answer
      C 100 Correct Answer Incorrect Answer
      D 60 Correct Answer Incorrect Answer
      E Cannot be determined Correct Answer Incorrect Answer

      Solution

      Let’s assume the speeds of train A and B are ‘Sa‘ and ‘Sb‘ respectively.

      The ratio between the lengths of train A and B is 9:7 respectively.

      Let’s assume the lengths of train A and B are 9y and 7y respectively.

      Train B which is ‘d’ meter long can cross a pole in 35 seconds.

      So d = 7y

      7y = 35xSb

      y = 5xSb   Eq.(i)

      Train A can cross a platform of (d+10) meter long in (t+45) seconds.

      (7y+10) = (t+45)xSa   Eq.(ii)

      Train B can cross train A in (3t-70) seconds. If the difference between the speeds of both trains is 4 m/s.

      (9y+7y)/(3t-70) = 4

      16y = 4(3t-70)

      4y =(3t-70)   Eq.(iii)

      In Eq.(i), Eq.(ii) and Eq.(iii), there are a total of four variables. We cannot determine the value of ‘t’ from the given information.

      Practice Next
      More Trains Questions

      Relevant for Exams:

      ask-question