Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 27 Apr 2015, 09:45

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A thin conveyor belt 15feet long is drawn tightly around two

Author Message
TAGS:
Manager
Joined: 13 Mar 2007
Posts: 98
Followers: 1

Kudos [?]: 11 [0], given: 0

A thin conveyor belt 15feet long is drawn tightly around two [#permalink]  05 May 2008, 17:13
A thin conveyor belt 15feet long is drawn tightly around two circular wheels each 1 foot in diameter. What is the distance, in feet, between the centers of the two wheels?

The correct answer is (15-pi)/ 2
SVP
Joined: 29 Aug 2007
Posts: 2497
Followers: 57

Kudos [?]: 555 [0], given: 19

Re: A GMATPrep question [#permalink]  05 May 2008, 18:51
GMAT_700 wrote:
A thin conveyor belt 15feet long is drawn tightly around two circular wheels each 1 foot in diameter. What is the distance, in feet, between the centers of the two wheels?

The correct answer is (15-pi)/ 2

the circumference covered by the belt of each circle = 1/2 (2 pi r/2) = 1/2 (2 pi 1/2) = pi/2
the total circumference of both circles covered by the belt = pi
the lenth of the distance belt that doesnot cover the circumferences of 2 circles = 15 - pi
so the distance between the centers of the circles = (15 - pi)/2

drawing a picture would be an easy way to understand why half of (15 - pi) is the distance between the centers of two circles.
_________________
Re: A GMATPrep question   [#permalink] 05 May 2008, 18:51
Similar topics Replies Last post
Similar
Topics:
2 As shown in the figure above, a thin conveyor belt 12 meters 6 24 Sep 2013, 12:37
11 Two wheels are connected via a conveyor belt. The larger 11 02 Jun 2012, 21:43
11 The automotive conveyor-belt system, which Henry Ford 13 29 Apr 2012, 10:25
The moving walkway is a 300-foot long conveyor belt that 2 23 Sep 2007, 22:21
1 The moving walkway is a 300-foot long conveyor belt that 6 02 Aug 2007, 16:08
Display posts from previous: Sort by