In a 500 metres race, B gives A a start of 160 metres. the ratio of the speeds of A and B is 2:3. who wins and by how much

1) A by 19/3 m
2) B by 19/3 m
3) B by 20/3m
4) none of these

• In a 500 meters race, B gives `A` a start of 160 meters.
  
  The ration of the speeds of `A` and `B` is 2:3.
  
  Time taken by B to cover 500 m distance = 500/3 units.
  Distance covered by A in 500/3 units of time = 2*500/3= 1000/3= 333.33 Mtrs.
  A has a start of 160 M.
  
  so total distance reached on track by A = 160+333.33 = 393.33 M
  
  so B will win by 6.66 Mtrs in terms of distance.
  A will take 170 units of time and B will take 166.66 units of time to reach destination.
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