A boy goes to a school from his home at a speed of  x  km/hr and comes back at a speed of y km/hr, then the average speed is given by

A boy goes to a school from his home at a speed of  x  km/hr and comes back at a speed of y km/hr, then the average speed is given by

  1. A

    AM 

  2. B

    GM

  3. C

    GM 

  4. D

    none of these 

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    Solution:

    Let the distance between the school and the home 

    be s km. Then, total time taken in going to and coming from the

     school is given by 

       t=sx+syt=x+yxy sst=xyx+y 

      Average speed =2st=2xyx+y= H. M. of x and y

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