a goes to place x and b goes to place y.
after a travelled 180 km more than b they together meet at a point between xy. they together had their lunch for half an hour. after that a took 2 hrs to reach x and b took 4.5 hrs to reach y. find distance between x and y?
a)900km b)540km c)720km d) not remember

• let speed of A be-------Sa
  let speed of B be--------Sb
  let the distance covered by B while going to position XY be-----------x
  so distance covered by A in same time while going to XY is----------180 +x(it's given in the question)
  so total distance b/w X and Y is=x+(x+180)
  while going to position XY :-
  time taken by A = time taken by B
  (x+180)/Sa= x/Sb
  Sa/Sb=(x+180)/x---------------------1
  
  after lunch:-
  A.C.T(according to question)
  Sa=x/2
  Sb=(x+180)/4.5
  
  dividing Sa/Sb=(x*4.5) / ((x+180)*2)--------------------2
  
  equating equations 1 and 2
  9/4 = (x+180)^2 / x^2
  now taking square root on both sides we get
  
  3/2 = (x+180) / x
  
  x=360
  therefore distance between x and y =x+(x+180)=900km
  option A is correct
• 8 years agoHelpfull: Yes(18) No(1)
• answer is 900
  at the meeting point time is constant
  s1/s2= D1/D2
  solving by option taking 900
  s1/s2=540/360=3/2 .............. (1)
  it means a have to travel 360 km in 2 hrs speed of a= 180 kmph
  by eq(1) speed of b is 120kmph and it will take 4.5 hrs to travel 560 km.
  thus 900 kn is answer
• 9 years agoHelpfull: Yes(10) No(10)
• condition for velocity is missing
• 9 years agoHelpfull: Yes(3) No(4)
• ans is 540 km
  let speed of A be-------Sa
  let speed of B be--------Sb
  let the distance covered by B while going to position XY be-----------x
  so distance covered by A in same time while going to XY is----------180 +x(it's given in the question)
  so total distance b/w X and Y is=x+(x+180)
  while going to position XY :-
  time taken by A = time taken by B
  (x+180)/Sa= x/Sb
  Sa/Sb=(x+180)/x---------------------1
  
  after lunch:-
  A.C.T(according to question)
  Sa=x/2
  Sb=(x+180)/4.5
  
  dividing Sa/Sb=(x*4.5) / ((x+180)*2)--------------------2
  
  equating equations 1 and 2
  9/4 = (x+180)^2 / x^2
  now taking square root on both sides we get
  
  3/2 = (x+180) / x
  
  so ,x =180
  and total distance is = x+(x+180)=540 km
  
  
  
  
• 8 years agoHelpfull: Yes(2) No(6)
• 180 km wil tak 2.5 hr
  ans 468
• 9 years agoHelpfull: Yes(0) No(6)
• 180 km in 2.5hr ,speed of b will become=72km/h
  sa=1.5*72 =108 km/h
  total dist=540km
  
• 9 years agoHelpfull: Yes(0) No(6)