Viru and dhoni are running in a race if there speed is in the ratio 5:3 respectively and total distance traveled by them in one round is .5 km . Find the distance traveled by viru when he passes dhoni for the sixth time.

OPTIONS-
A)6.26 km
B)7.25 km
C)10.5 km
D)12 kms

This question was asked in 22nd feb ph test.

• the total distance traveled by them means in one round they both covers a distance of 0.5 km..
  let the speed of viru is 5 km/h and that of dhoni is 3 km/h
  the time of the meeting in which they meet for the first time is given as...... (distance)/(difference of the speed) = 0.5/(5-3)=1/4........
  when they will meet for the 6th time the time taken by both will be 6*(1/4) = 3/2.....
  now speed of dhoni is 5 km/h and time taken is 3/2..... so distance traveled by dhoni is 15/2= 7.5 km....
  answer is not given in the option but it is correct one
• 9 years agoHelpfull: Yes(5) No(1)
• let speed of viru and dhoni are 5x and 3x.
  ratio of distance traveled by them= ratio of speed of them =5:3
  total distance traveled by both=.5km
  so distance traveled by viru in one round= .5*(5/8) =.3125km and distance traveled by dhoni in one round will be .1875 km.
  so the length of track =.3125.
  time taken by viru to complete one round=.3125/5x
  and time taken by dhoni to complete one round=.3125/3x
  both will meet after time( LCM of .3125/5x and .3125/3x)=.3125/x
  both meet for the sixth time after (.3125/x)*6
  so distance traveled bu viru upto 6th meet = (.3125/x)*6*5x =9.375km
  
  correct me if i am wrong...
• 9 years agoHelpfull: Yes(4) No(7)
• sorry the first option was 6.25 not 6.26
• 9 years agoHelpfull: Yes(3) No(3)
• ans>6.25
  
  done manually taking each starting and crossing poing in mind
  
• 9 years agoHelpfull: Yes(2) No(2)
• please explain any one
• 9 years agoHelpfull: Yes(0) No(0)
• i m not getting the meaning of total distance traveled by them in one round is .5 km..
• 9 years agoHelpfull: Yes(0) No(1)