There are 2 men A and B both started running in a circular park but a in clockwise and b in anti clockwise direction a completes a circle of 1 km in 4 min they both run for 45 min find how much faster should b run so that they meet 24 times on their way

• a's spped- 250meter/min
  net speed=250+b(b's speed, both moving in opp direction)
  total dist covered in 45 min by them= (250+b)*45
  as they meet 24 times thus dist covered by them= 24*1000(length of circular park)
  equate both (250+b)*45=24000
  b=(850/3) meter/min convert it to km/hr
  ans is 17
• 10 years agoHelpfull: Yes(27) No(1)
• to meet 24 time they must cover distance of 24km i.e. distance covered by A + distance covered by B =24 km.
  A completes 1km in 4 min, speed of A = 15kmph.
  in 45 min A runs 11.25km.
  B have to run 24-11.25= 12.75km.
  we know B runs for 45 min.
  so speed of B is 17kmph.
• 10 years agoHelpfull: Yes(15) No(1)
• Answer is 17
• 10 years agoHelpfull: Yes(3) No(2)
• speed of A: 1/(4/60)= 15 km/h
  distance covered by A in 45 min=11.25 km
  means that A covers 11 round and 0.25 km from starting in clockwise direction
  So, at the 24th meet B needs to cover 0.75 km in anticlockwise direction from starting point.
  Using options
  
  A/c Option A speed of B is 225 km/hr.
  A/c Option B speed of B is 180 km/hr
  A/c Option C speed of B is 255 km/hr
  A/c Option D speed of B is 270 km/hr
  
  If we will use option A, distance covered by B = 255*45/60 = 168.75
  means that B covers 168 rounds and 0.75 km from starting point anticlockwise direction
  So, option A is correct = 15.
• 10 years agoHelpfull: Yes(3) No(7)
• Given here parameter of circle = 1 km && They meet 24 times so conclusion of this -->they r running the circle 24 times ... Suppose B take x min to round the 24 times so Equation of this is 45/x = 24 so got x=1.875 min so Speed of B is 1km/1.875min --> 1*60/1.875(change min to hr.)--> B's speed 32kmph.
  A's speed = 1*60/4--> 15kmph.
  how much faster should B run = 32-15 = 17kmph faster
• 10 years agoHelpfull: Yes(2) No(0)
• did you attended the question 1
• 10 years agoHelpfull: Yes(1) No(1)
• yes i attendented it by putting the value frm the ans the options were a
  a 15
  b 12
  c 17
  d 18
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• 17 what? is it the speed or it is 17 times faster? plz explain.
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• friends, i want to crack the elitmus, may i know which book you all are referring for solving this??????
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