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Discussion :: Problems on Trains

  1. Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:

  2. A.

    30 km/hr

    B.

    45 km/hr

    C.

    60 km/hr

    D.

    75 km/hr

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    Workspace

    Answer : Option C

    Explanation :

    Let the speed of the slower train be x m/sec.

    Then, speed of the faster train = 2x m/sec.

    Relative speed = (x + 2x) m/sec = 3x m/sec.

     \([\frac { 100+100 } {8 } ]\)   = 3x
     

     24x = 200

     x = \(\frac { 25 } { 3 } \)   .
     
    So, speed of the faster train = \(\frac {50 } { 3} \)   m/sec
     
       = [\(\frac {50 } { 3} \)     \( \frac { 18 } { 5} ]\)       km/hr    
         

       = 60 km/hr.


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