Two persons X and Y start simultaneously from A and B and walk towards each other. They meet after 1/2 hour and continue to walk towards their destination. If X reaches 25 minutes after Y reached the destination, find the ratio of their speeds.

• X_______________|___________________Y
  A C B
  
  Let X's Speed= a km/h
  Y's Speed= b km/h
  after 1/2 hrs they meet at point C
  So..AC= a/2 km (Distance= Speed*Time)
  and CB= b/2 km (Distance= Speed*Time)
  Now..X have to cover b/2 km distance to reach B
  and Y have to cover a/2 km distance to reach A
  Time taken By Y to reached at A = a/2b (Time= Distance (a/2)/ Speed (b))
  According to question Time taken by X = 25 minutes + Time taken by Y
  i.e. Time taken by X= 25/60 + (a/2b)= (6a+5b)/12b
  Now again for X
  Speed= Distance/Time
  a= (b/2) / (6a+5b)/12b..........Equation (1)
  By solving Equation (1) we get a:b = 2:3
• 11 years agoHelpfull: Yes(10) No(3)
• ans is 2:3
  
• 11 years agoHelpfull: Yes(3) No(1)
• Let us take the speed of X=r
  speed of Y=s
  then in 1/2 hr X travelled =(1/2)r and Y= (1/2)s
  then in 25 min X travelled =(5/6)r
  so when Y reached its destination X travelled=(6s-5r)/12
  so (6s-5r)/12r=r/2s
  so r/s=2:3
• 11 years agoHelpfull: Yes(3) No(5)
• @ MD SHOAIB : please explain your answer, If you know the method.
• 11 years agoHelpfull: Yes(0) No(1)
• Narcissist.:
  1/2 = 0.5
  AFTER 25% = 75% = 3/4 = 0.75
  
  0.5 : 0.75
  50:75
  2:3
• 8 years agoHelpfull: Yes(0) No(0)
• Lets assume Y reaches in t time from B to A.
  And speed of X and Y is Sx & Sy respectively
  
  Lets make equations..
  Sx * (1/2) = Sy * (t - 1/2)
  Sx * (t- 1/2 + 5/12 ) = Sy * 1/2
  
  Hence , (t - 1/2) * (t- 1/2 + 5/12 ) = 1/2 * 1/2
  
  t = 6 hr
  so , Sx/Sy= 2/3
  
  Only problem that i got during the problem solving was to getting the t value.
• 8 years agoHelpfull: Yes(0) No(0)