A beats B by 50m in a race of 500m ,then B beats by C by 25m in a race of 500m.Find the
distance by which A beats C in a race of 400?

• A B C
  500 450
  500 475
  
  => When B did 450m C did 475/500*450=427.5m
  which means when A did 500m C did 427.5m
  
  =>when A do 400m,C do = 427.5/500*400 =342m
  thus 400-342=58 m Ans
  
• 12 years agoHelpfull: Yes(17) No(1)
• Ans 58m
  
  A beats B in 500m race by 50m
  so,for every 10 m race A beat B by 1m..
  
  So,in 400 m race A beat B by 40m
  
  
  In a case of B & C,
  B beats C by 25m in 500m race..
  So,B beats C by 1m in 20 m race
  
  Now,in a 400m race B beats C by 18m..
  
  In a 400m race,
  A beats B by 40m & B beats C by 18m..
  So,A beats C by 58m...
  
  
• 12 years agoHelpfull: Yes(13) No(6)
• A:b=10:9
  b:c=20:19
  a:B:C=200:180:171
  thus a:c=200:171
  =400:342
  hence a beats c by 58m
  
• 10 years agoHelpfull: Yes(6) No(0)
• I think there is mistake in question.Question should be
  "A beats B by 50m in a race of 500m ,THEN B BEATS C BY 25m in a race of 500m.Find the
  distance by which A beats C in a race of 400?"
  Now Solution given by Vaibhav Jain is Correct
• 12 years agoHelpfull: Yes(5) No(1)
• 20m
  a=500.b=450,c=475
  diff between a,c=25 in 500 m race
  so 500m=25
  1m=25/500;
  400m=25*400/500=20
• 11 years agoHelpfull: Yes(1) No(0)