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Discussion :: Races and Games

  1. In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

  2. A.

    5.4 m

    B.

    4.5 m

    C.

    5 m

    D.

    6 m

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    Answer : Option D

    Explanation :

    A : B = 100 : 90.

     

    A : C = 100 : 87.

     

    \( \frac {B } { C }\) = \( \frac {B } { A}\) X \( \frac {A } {C}\) = \(\frac { 90 } { 100 } \) x  \(\frac { 100} { 87 } \) x \(\frac { 30 } { 29} \)

     

    When B runs 30 m, C runs 29 m.

     

    When B runs 180 m, C runs[\(\frac { 30 } { 29} * 180]\) m =174m

     

     B beats C by (180 - 174) m = 6 m.


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