A and B leaves points X and Y towards Y and X respectively simultaneously and travel on the same route .After meeting each other on the way A takes 4 hours to reach her destination and B takes 9 hrs to reach his destination.If speed of A is 48kmph then what is the speed of B

• let the time both of them meet be t
  therefore, the ratio of their times to reach their destinations(to cover the whole distance is t+4/t+9)
  
  their respective speed ratio will be 1: (t+4/t+9) which is t+9/t+4
  
  before meeting Yana must have covered 48t of the distance.
  
  to cover the same distance gupta takes 48t/9 km/hr (this is an important deduction as they are travelling towards each other)
  
  we have ratios of the speed..
  
  48 : 48t/9= t+9 : t+4
  
  t/9= t+9/t+4
  which results into a quadratic equation
  t^2=36
  t= 6 hrs
  therefore, gupta's speed will be 48 * 6/9= 32 km/hr
• 11 years agoHelpfull: Yes(11) No(2)
• ans will be 32
• 11 years agoHelpfull: Yes(10) No(8)
• If A takes 4hrs to reach his destination after meeting B then the distance he travelled is 192km in those 4hrs.
  So if the total distance is D then the equations can be written as
  (D-192)/48=192/b - (eqn 1) where b is the speed of B
  Now since B reached his destination in 9 hrs so
  (D-192)/b=9 this implies that (D-192)=9 * b^2
  Putting this in eqn 1 we get
  9b^2=48*192
  b^2=16*64
  b=32
• 11 years agoHelpfull: Yes(9) No(0)
• speed of B=32 km/hr
• 11 years agoHelpfull: Yes(5) No(5)
• This can be solved by this formula:
  A's speed/B's speed = ( Tb/Ta )^(1/2)
  Ta = 4 hrs and Tb = 9 hrs
  so, B's speed = 72kmph ans.
• 11 years agoHelpfull: Yes(5) No(4)
• plz xplain in detail......
• 11 years agoHelpfull: Yes(3) No(2)
• 4*48/y = 9y /48
  9y^2 = 192 * 48
  y = 32 kmph
• 11 years agoHelpfull: Yes(2) No(3)
• t/3=12/t
  t*t=36
  t=6
  then the ratio of speeds 1:2
  hence
  speed of B is 96 km/h
• 11 years agoHelpfull: Yes(1) No(15)
• take meeting time D/(48+x) where D distace between X and Y,x is speed of B and use
  this to make equation like
  48[D/(48+x)]+48*4=D make in the same way for motion of B also and you will get ans 32km/hr
• 11 years agoHelpfull: Yes(1) No(6)
• pls explain...
• 11 years agoHelpfull: Yes(1) No(0)