A starts from a point P on a circular track ,at 6:00 am and runs around the track in clockwise direction .At 6:15 am ,B starts from the same point P and runs around the track in counter clockwise direction and meets A for the first time at 7:09 am.If B started at 6 am then he would have met A for the first time at 7 am.If both A & B start from P at 7:00 am and run in the opposite direction,then find the time at which they would meet at the starting point for the first time?

• At 1200 hrs.
  if a nd b are their speeds, then
  69a+54b= 60a+60b
  9a=6b
  a/b= 2/3 or a= 2b/3 or b= 3a/2
  length of track = 60a+60b = 60a+90a=150 a units
  A will take 150 minutes to cover one round whereas B will take 100 mins to cover one round.
  
  They both will meet at starting point after 300 mins completing 2 rounds and 3 rounds respectively.
  so they will meet again at starting point after 300 mins or 5 hrs i.e. at 1200 hrs
• 12 years agoHelpfull: Yes(2) No(0)
• answer given by Aman seems correct.
• 12 years agoHelpfull: Yes(0) No(0)