There was a race between 3 people. Me, Doug and Anne. When I take 21 steps the distance covered is equal to Doug's 24 steps and Anne's 28 steps. I take 6 steps to every 7 steps of Doug and 8 steps of Anne. Who won the race?

One Answer on this Question

1. Doug won the race
   Explanation-
   The ratio of steps covered by me, Doug, and Anne is = 6:7:8

   Since Distance covered in Me 21 steps = Distance covered by Doug 24 steps = Distance covered by Anne 28 steps

   LCM (21, 24, 28) = 168

   For a distance of 168 units, the ratio of the distance covered in each step is;
   = 8 : 7 : 6
   Therefore the ratio of speeds is;
   = 8×6: 7×7: 6×8
   = 48 : 49 : 48

   Here, the speed of the Doug is more than the speed of me and Anne
   Hence, Doug won the race

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