A and B run in opposite directions from a point P on a circle with different but constant speeds. A runs in anticlockwise direction. They meet for the first time at a distance of 900 m in clockwise direction from P and for the second time at a distance of 800 m in anticlockwise direction from P. If B is yet to complete one round, the circumference of the circle is
a)1700m b)1250m c)1300m d)1200m

• If A runs in clockwise direction.
  They meet for the first time at a distance of 900 m in clockwise direction from P and for the second time at a distance of 800 m in anticlockwise direction from P. If B is yet to complete one round,
  then distance travelled by B during the time both together completed two rounds = 800 m
  distance travelled by B during the time both together completed one round = 800/2 = 400 m
  distance travelled by A during the time both together completed one round = 900 m
  
  so total circumference = 900+400=1300 m
  
• 12 years agoHelpfull: Yes(24) No(2)
• 1700+
  because even after their second meet B did not complete a single round.
  i.e B still needs to travel 800 meters to make a complete round after second meet.
  i.e. 900+some unknown distance+800
• 10 years agoHelpfull: Yes(4) No(0)
• Let x be circumference
  A:900m B: x-900m
  Again
  A: 2x-1700 B: 1700-x
  
  So,
  900/x-900 = 2x-1700/1700-x
  
  1530000 - 900x =2x^2 - 1700x - 1800x + 1530000
  2x^2 -2600x = 0
  x = 1300m
• 8 years agoHelpfull: Yes(3) No(0)
• Lets say the total perimeter is x.
  
  When the first meeting happened A travelled 900m.
  
  so b must have travelled x-900m.
  
  while 2nd meeting happened A and B must have travelled same distance.
  
  No when the distance given is 800 from anticlockwise=>which is the total distance travelled by B in two laps.
  
  so total distance travelled by B is
  
  2(x-900)=800
  
  =>x=1300m
• 8 years agoHelpfull: Yes(3) No(0)
• Answer will be 1300 m if
  A runs in clockwise direction ..( pls check )
  and
  hence meets after covering distance of 900 m in clockwise direction from P ( as per given condition) .
  Otherwise none of these options is correct.
• 12 years agoHelpfull: Yes(2) No(1)
• @ Magesh,
  
  If total circumference is 1700 m, then it means that both times A and B meet at same point.
  
  Pls check.
• 12 years agoHelpfull: Yes(2) No(2)
• 1300 m seems correct if statement is corrected as stated by Sulekha.
• 12 years agoHelpfull: Yes(1) No(1)
• Wrong options, the answer should be greater than 1700m
• 10 years agoHelpfull: Yes(1) No(0)
• 900+800=1700m
• 12 years agoHelpfull: Yes(0) No(6)
• Cant get.. How (Meet) distances will vary when they run at constant speed in a circle??
• 10 years agoHelpfull: Yes(0) No(0)
• from qtn we can draw a conclusion that A is faster than B. By trail and error let circumference of circle is 1300 m .let A took 1 hr to make 900 m in clockwise direction and left with some distance that is the traveled distance of B(1300-900=400 m).In another 1 hr(2hr) B makes his 400 m now total traveled distance of B is 800 m in anti-clockwise direction which satisfies our condition at that time A had completed his first round and traveled 500 m from his starting point in clockwise direction(900+400= one complete revolution and 400+500=900 in 2 hr).
• 9 years agoHelpfull: Yes(0) No(0)