In a race of 600 metres, A can beat B by 60 metres and in a race of 500 metres, B can beat C by 25 metres. by how many metres will A beat C in a 400 metres race?

1) 50m
2) 58m
3) 60m
4) none of these

• 58 M
  
  When A travels 600 mtrs, B travels 540 mtrs
  when A travels 400 m, B travels 400*540/600= 540*2/3= 360mtrs
  
  when B travels 500 mtrs, C travels 475 mtrs
  when B travels 360 mtrs, C travels 360*475/500= 342 mtrs
  
  so when A travels 400 mtrs, B travels 360 mtrs, C travels 342 mtrs.
  so A will beat c by 58 mtrs in 400 mtr race.
• 12 years agoHelpfull: Yes(2) No(3)
• A runs B runs C runs
  
  600 metres race 600m 540 m
  
  500 metres race 500 m 450m
  
  Combing ratio A runs B runs C runs
  
  300metres - 2700meters - 2430metres
  
  Unitary A runs B runs C runs
  
  Method 400mtres - 360 metres - 324 metres
  
  ∴ A beats C by 400-324 = 76 metres.
• 6 years agoHelpfull: Yes(0) No(0)