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Home Questions & Answers Aptitude Problems on Trains Question Answers Two trains running in opposite directions cross a man standing on the platform in 27 sec and 17 sec respectively and they cross each other in 23 sec. What is the ratio of their speeds

    Two trains running in opposite directions cross a man standing on the platform in 27 sec and 17 sec respectively and they cross each other in 23 sec. What is the ratio of their speeds

  • 1:3
  • 3:2
  • 3:4
  • 1:2
  • 2:1
  • Explanation:

    Let the speed of train1=v1

    and the length of train1=d1

    Let the speed of train2=d2

    and the distance of train2=d2

    According to question,

    27=d1/v1

    d1=27×v1                         ....(i)

    17=d2/v2

    d2=17×v2                        .....(ii)

    Again, according to question,

    23=17v2+27v1/v1+v2

    23v1+23v2=17v2+27v1

    4v1=6v2

    v1/v2=6/4

    v1:v2 = 3:2