virat & anushka starts running in clockwise direction at the same time and ratio of their speed is 5:3. it takes 0.5km to complete one round then how much distance will virat cover when he crosses anushka 6th time?

• 7.5km
  time of one round=0.5/2x
  time of 6 round=0.5*6/2x=1.5/x
  distance covered till 6round by virat=1.5*5x/x=7.5km
  
• 10 years agoHelpfull: Yes(11) No(0)
• ratio of speed=5:3
  
  let speed of Virat= 5ms
  let speed of Anushka =3ms
  
  lenth of circular path= 0.5km = 500m
  
  Time taken by Virat to complete 500m = 100sec
  
  Virat will cross Anushka after every 250sec
  
  for 6th cross:
  
  total time= 6*250 sec
  = 1500 sec
  distance covered in 1500 sec = (1500*500)/100 m
  =7500 m
  = 7.5 km
• 10 years agoHelpfull: Yes(6) No(2)
• ans is 3.5 km. bcoz 6 meet in totall 7 round .
  
• 10 years agoHelpfull: Yes(3) No(2)
• time taken by virat to cover 1 round is 0.5/5=0.1hr
  in 0.1hr anushka has coverd 0.1*3=0.3km
  let dist is x from 0.3km when they meet first ,then equating time for both i.e 0.3+x/5=x/3 ,we getx=0.75km
  it means 0.25km from starting point and virat has covered 0.5+0.25=0.75km in first meet .
  therefore in 6th meet virat has covered 0.75*6=0.45km
  
• 10 years agoHelpfull: Yes(3) No(2)
• its a repeated question
  answr is 7.5km
• 10 years agoHelpfull: Yes(2) No(1)
• Ans is 10.
  Explanation: 1. Speed=distance/time
  2. therefore the ratio of speed given is 5/3
  3. virat speed 5=(.5)/x. where x is time taken
  4. anushka speed 3=(.5)/y where y is time taken by anushka
  5. Dividing eq3 by eq4 : 5/3=y/x
  6. therefore by eq5 we can see that while anushka completing 3 rounds, virat completes 5 rounds so
  while anushka completing 6th round, virat would have completed 10th round.
• 10 years agoHelpfull: Yes(1) No(1)
• Ratio of speed=5:3
  Virat's speed=(5/8)x;
  Anushka's speed=(3/8)x;
  Time taken by virat for one round= (500)/(5x/8);
  =>800/x;
  Time by anushka for one round=(500)/(3x/8);
  =>4000/(3x)
  Lcm to dind out which one meets first=6400/(3x)
  the distance covered by virat to meet first time=5x/8*6400/(3x)=4000/3 m
  6th time=(4000/3)*6=8000m
  therefore rouund=16th round ANS
  With Regards
  Pranav Khandelwal
  
• 10 years agoHelpfull: Yes(0) No(8)
• sorry
  (it should be m/s not ms)
  speed of virat = 5m/s
  speed of Anushka = 3m/s
  
• 10 years agoHelpfull: Yes(0) No(0)
• sorry by mistake
  the lcm would be= 4000/x
  distance=5x/8*4000/x=2.5km
  for 6th round=2.5*6=15km
• 10 years agoHelpfull: Yes(0) No(1)
• speed ratio=5:3
  virat=5x
  anush=3x
  
  t1=0.5/5x=500m/5x=100/x
  t2=500/3x
  
  t(diff)= 500/3x - 100/x =200/3x
  difference distance btween two = 200/3x * 2x = 400/3
  
  anushka travelling 6 tyms distance covered = 1000m
  difference betwween virat and anushka wen anushka completes 6th tym = 6*400/3 =800m
  
  total distance covered by virat wen he crosses anushka 6th tym = 1000+800 m
  =1.8km
• 10 years agoHelpfull: Yes(0) No(1)