In a 200m race, A gives B a head start of 25m and wins by 10sec. If A gives B a head start of 45m, the race ends in a dead heat. What will be the time taken by A to complete the race?

• Case 1: 200/A = Ta = Tb-10......(1)
  175/B = Tb........(2)
  Case 2: 200/A = Ta'= Tb' = 155/B.....(3)
  From (3) we get A/B=200/155
  Dividing (2) by (1) and putting A/B=200/155 gives: 200*155/200*175 = Tb-10 / Tb
  Solving we get Tb = 87.5 secs Thus, Ta = 87.5 - 10 = 77.5 secs
  
• 10 years agoHelpfull: Yes(4) No(0)
• When A give 20m extra start to B race end at dead heat instead of 10 sec win,
  means B travel 20m in 10 sec.
  so, for 175m B take 87.5 sec
  means A will take 87.5-10=77.5 sec
• 10 years agoHelpfull: Yes(4) No(3)