A can beat B by 20 min in 200m race.B can beat C by 10 min in 250m race.By how many meters A can beat C in 100 m race?

• While i cross checked, and i find the solution
  for A and B : 20 min ---- 200m
  10 min ----- 100m
  5 min ------- 50m
  
  for B and C : 10 min ---- 250 m
  2min ------ 50 m (as to make both b as same , make it to 50 m by dividing it by 5)
  
  
  for A and C : as both b are in 50 m, so A and C will be 5+ 2 = 7m apart
  as A beat C in 100 m race (50 *2) so 7 *2= 14 min will be the exact answer!!
• 9 years agoHelpfull: Yes(11) No(0)
• A : B = 200 : 180.
  
  B : C = 250 : 240.
  
  A/C = (A/B * B/C) = (200/180 * 250/240) = 125: 108 { IN THE B metres i have confusion as they should actually be same)
  
  When A covers 125 m, C covers 108 m.
  
  When A covers 100 m, C covers (108/125 * 100) m = 86.4 m.
  
  Therefore, A beats C by (100 - 86.4) m = 13.6 m.
  
  
  
  please if any more adequate, kindly contradict on the same!
• 9 years agoHelpfull: Yes(5) No(1)
• ans 14 meters A beats B by 25 min in 250 m race hence from data A beats C by 35min in 250 m race hence A beats C by 14 min in 100m race
• 10 years agoHelpfull: Yes(3) No(4)
• Let the race be for 100min
  A takes 100min to complete 200 Mts race
  B takes 80 min to complete same 200 Mts race.
  Now for 100mts A take 50 min and B take 40 min.......
  A:B=50:40
  In a race of 250 Mts
  B takes 100min ,C takes 90 min
  So B takes 40 min for 100 Mts race whereas C takes 36 Min....
  So B:C=40:36
  Now
  A:B::B:C=50:40::40:36 for entire 100mts race.
  A:C=25:18
  So A beat C by 7 min exactly......
  
• 8 years agoHelpfull: Yes(1) No(2)
• near about 7.5 min
  
• 10 years agoHelpfull: Yes(0) No(4)