Solved

ESCALATOR PROBLEM

Posted on 2006-06-16
5
907 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

Industry Leaders: We Want Your Opinion!

We value your feedback.

Take our survey and automatically be enter to win anyone of the following:
Yeti Cooler, Amazon eGift Card, and Movie eGift Card!

Question has a verified solution.

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

Suggested Solutions

Title # Comments Views Activity
Getting the latitude and longitude of the intersection points of two overlapping circles 6 1,383
Solving a puzzle geocache 10 1,618
Silly DVD problems 4 441
Gin and tonic 11 703
Invest in your employees with these five simple steps to improve employee engagement and retention.
Unified and professional email signatures help maintain a consistent company brand image to the outside world. This article shows how to create an email signature in Exchange Server 2010 using a transport rule and how to overcome native limitations …
With Secure Portal Encryption, the recipient is sent a link to their email address directing them to the email laundry delivery page. From there, the recipient will be required to enter a user name and password to enter the page. Once the recipient …
Finds all prime numbers in a range requested and places them in a public primes() array. I've demostrated a template size of 30 (2 * 3 * 5) but larger templates can be built such 210  (2 * 3 * 5 * 7) or 2310  (2 * 3 * 5 * 7 * 11). The larger templa…

752 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