Solved

ESCALATOR PROBLEM

Posted on 2006-06-16
5
928 Views
Last Modified: 2008-03-03
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

0
Comment
Question by:sinha_anshul26
[X]
Welcome to Experts Exchange

Add your voice to the tech community where 5M+ people just like you are talking about what matters.

  • Help others & share knowledge
  • Earn cash & points
  • Learn & ask questions
  • 3
5 Comments
 
LVL 37

Assisted Solution

by:Harisha M G
Harisha M G earned 20 total points
ID: 16922512
0
 

Author Comment

by:sinha_anshul26
ID: 16925250
i know but i need sol to this one
0
 
LVL 20

Accepted Solution

by:
alainbryden earned 480 total points
ID: 16926096
This is easy after solving the other one.

Let the number of steps = x.
No of steps rolled in by the escalator when A is walking down = x - 50. similarly for B is  x - 75
By the time A walked 1 step, the number of steps removed by the escalator = (x - 50)/50
By the time B walked 3 step, the number of steps removed by the escalator = 3(x - 75)/75
(x - 50)/50  =  3(x - 75)/75
(x - 50)*75 =  3(x - 75)*50
75x - 3750  = 150x - 11520
       75x     =    7500
            x = 100

Q.E.D.
0
 

Author Comment

by:sinha_anshul26
ID: 16926279
Hi Alain, Thanks for your quick help,
however I am not able to understand logic of these two equations....

By the time A walked 1 step, the number of steps removed
by the escalator = (x - 50)/50
By the time B walked 3 step, the number of steps removed
by the escalator = 3(x - 75)/75
0
 

Author Comment

by:sinha_anshul26
ID: 16926353
ok, it clear now...
Thaks Alain alot.
0

Featured Post

What, When and Where - Security Threats from Q1

Join Corey Nachreiner, CTO, and Marc Laliberte, Information Security Threat Analyst, on July 26th as they explore their key findings from the first quarter of 2017.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Originally, this post was published on Monitis Blog, you can check it here . In business circles, we sometimes hear that today is the “age of the customer.” And so it is. Thanks to the enormous advances over the past few years in consumer techno…
Compliance and data security require steps be taken to prevent unauthorized users from copying data.  Here's one method to prevent data theft via USB drives (and writable optical media).
In this video, viewers are given an introduction to using the Windows 10 Snipping Tool, how to quickly locate it when it's needed and also how make it always available with a single click of a mouse button, by pinning it to the Desktop Task Bar. Int…
This is my first video review of Microsoft Bookings, I will be doing a part two with a bit more information, but wanted to get this out to you folks.

617 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question