Please give the answer............................There is a escalator and 2 persons move down it.A takes 50 steps and B takes 75 steps while the escalator is moving down.Given that the time taken by A to take 1 step is equal to time taken by B to take 3 steps.Find the no. of steps in the escalator while it is staionary?

• Suppose 'x' steps are moved down the escalator in the same time as A moves one step dpwn.
  So total steps moved by A = 75 + 75x .........(a)
  
  
  Total Steps moved by B = 50 + 3* 50x..........(b) ( as B takes thrice time to move down as A so 3*x steps are moved down the escalator when B moves one step down)
  
  Since total steps are same:
  75 + 75x = 50 + 3*50x
  
  x = 1/3
  
  Substituting value of x in (a) or (b) we get total steps = 100
• 8 years agoHelpfull: Yes(2) No(0)
• If A takes 1 step in one second, then B takes 3 steps in one second. If A takes t1 seconds to
  take 50 steps, then B takes 150 steps in t1 seconds.
  For B, to take 150 steps he requires t1 seconds,
  then to take 75 steps he requires t1/2 seconds.
  now use relative velocity
  L - v*t1=50 (for first person)
  L-v*t1/2=75(for second person)
  S(escalator w.r.t ground)-s(person w.r.t escalator)=s1(person w.r.t ground)
  S,s,s1 are the steps
  now put the v*t1 from 1 into the second equation and u get
  L- (L-50)/2=75
  L+50=150
  L=100;
• 8 years agoHelpfull: Yes(1) No(1)
• 25 steps
  
  
• 8 years agoHelpfull: Yes(0) No(3)
• Answer:- 100
  
  An escalator is descending at constant speed. A walks down and takes 50 steps to reach the bottom. B runs down and takes 90 steps in the same time as A takes 10 steps.
  
  let speed of A = 1 step/min
  speed of esc = n steps/min
  while A moves 50 steps, esc moves 50n steps.
  Again, Atakes 10 steps in 10 mins. So B takes 90 steps in 10 mins, while esc moves 10n in the same time.
  so, 50 + 50n = 90 + 10n
  so, n=1
  no. of stairs=100
• 8 years agoHelpfull: Yes(0) No(0)