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Discussion :: Time and Distance

  1. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

    2. A.

    100 kmph
    B.

    110 kmph
    C.

    120 kmph
    D.

    130 kmph

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    Answer : Option C

    Explanation :

    Let speed of the car be x kmph.

     

    Then, speed of the train =\([ \frac { 3 } { 2 }X]kmph\)

     

    \(\frac { 75 } { X} \)-\(\frac { 75 } { (3/2)X} \)=\(\frac { 125 } { 10*60} \)

     

     \(\frac { 75 } { X} \)-\(\frac { 50 } { X} \)=\(\frac { 5 } {2 4 }\)

     

     x =[\([\frac {25*24 } { 5 }]\)=120kmph

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