A runs 5/3 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

A. 200 m B. 300 m
C. 270 m D. 160 m

• 
  Ratio of the speeds of A and B = 5 : 1 = 5 : 3.
  3
  Thus, in race of 5 m, A gains 2 m over B.
  
  2 m are gained by A in a race of 5 m.
  
  80 m will be gained by A in race of 5 x 80 m = 200 m.
  2
  Winning post is 200 m away from the starting point.
• 11 years agoHelpfull: Yes(1) No(1)
• Ratio of the speeds of A and B = 5 : 1 = 5 : 3.
  3
  
  Thus, in race of 5 m, A gains 2 m over B.
  
  2 m are gained by A in a race of 5 m.
  
  80 m will be gained by A in race of 5 x 80 m = 200 m.
  2
  
  Winning post is 200 m away from the starting point.
• 10 years agoHelpfull: Yes(0) No(0)