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     In a 500 m race, the ratio of the speeds of two contestants A and B is 3:4. A has a start of 140 m. Then, A wins by:
    Question

     In a 500 m race, the ratio of the speeds of two contestants A and B is 3:4. A has a start of 140 m. Then, A wins by:


    A.

    60 m


    B.

    40 m


    C.

    20 m 


    D.

    10 m

    Correct option is C

     Given speed ratio of A and B = 3:4

    A has a 140 m start, so A runs 360 m while B runs 500 m.

    Since speed is in the ratio 3:4, time taken by both is the same:

          

    Solving for x (distance by which A wins):

                                  

                                  360 x 4 / 3  =  500 - 

                                         1440 / 3 = 500 - 

                                  480 = 500 - 

                                   = 500 - 480

                                  = 20 meters

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