It is currently 19 Nov 2017, 13:08

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

As shown in the figure above, a thin conveyor belt 15 feet long is

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

1 KUDOS received
Manager
Manager
avatar
Joined: 13 Mar 2007
Posts: 98

Kudos [?]: 38 [1], given: 0

As shown in the figure above, a thin conveyor belt 15 feet long is [#permalink]

Show Tags

New post 05 May 2008, 18:13
1
This post received
KUDOS
7
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

66% (01:03) correct 34% (01:13) wrong based on 370 sessions

HideShow timer Statistics

Image
As shown in the figure above, a thin conveyor belt 15 feet 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?

A. \(\frac{15-\pi}{2}\)

B. \(\frac{5\pi}{4}\)

C. \(15-2\pi\)

D. \(15-\pi\)

E. \(2\pi\)

[Reveal] Spoiler:
Attachment:
Conveyer Belt.jpg
Conveyer Belt.jpg [ 5.75 KiB | Viewed 9341 times ]
[Reveal] Spoiler: OA

Last edited by Bunuel on 16 Jul 2015, 08:51, edited 2 times in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.

Kudos [?]: 38 [1], given: 0

SVP
SVP
User avatar
Joined: 29 Aug 2007
Posts: 2471

Kudos [?]: 856 [0], given: 19

Re: As shown in the figure above, a thin conveyor belt 15 feet long is [#permalink]

Show Tags

New post 05 May 2008, 19:51
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.
_________________

Verbal: http://gmatclub.com/forum/new-to-the-verbal-forum-please-read-this-first-77546.html
Math: http://gmatclub.com/forum/new-to-the-math-forum-please-read-this-first-77764.html
Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html


GT

Kudos [?]: 856 [0], given: 19

Director
Director
avatar
Joined: 12 Oct 2008
Posts: 539

Kudos [?]: 618 [0], given: 2

As shown in the figure above, a thin conveyor belt 15 feet long is dra [#permalink]

Show Tags

New post 29 Jul 2009, 19:35
1
This post was
BOOKMARKED
As shown in the figure above, a thin conveyor belt 15 feet 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?

A) \(\frac{15-\pi}{2}\)
B) \(\frac{5\pi}{4}\)
C) \(15-2\pi\)
D) \(15-\pi\)
E) \(2\pi\)
Attachments

Conveyer Belt.jpg
Conveyer Belt.jpg [ 5.75 KiB | Viewed 8270 times ]


Last edited by ENGRTOMBA2018 on 16 Jul 2015, 06:56, edited 1 time in total.
Edited the question, added the OA and tags

Kudos [?]: 618 [0], given: 2

Manager
Manager
avatar
Joined: 22 Mar 2008
Posts: 53

Kudos [?]: 20 [0], given: 1

Re: As shown in the figure above, a thin conveyor belt 15 feet long is dra [#permalink]

Show Tags

New post 29 Jul 2009, 20:07
2
This post was
BOOKMARKED
The length of the belt = (semi perimeter of circle1) + 2* distance between the centres of the circles + (semi perimeter of circle2)

let's say the distance between the centres of the circles = d.
since both the circles have diameter = 1 ft ,therefore their radius = .5ft
therefore semiperimeter of each of the circles = (1/2) * 2* pi * r
= pi* .5
so,
15 = (pi* .5) + 2d + (pi*.5)
15 = pi + 2d
therefore d = (15-pi)/2

Hence option A

Kudos [?]: 20 [0], given: 1

4 KUDOS received
SVP
SVP
User avatar
Joined: 30 Apr 2008
Posts: 1863

Kudos [?]: 623 [4], given: 32

Location: Oklahoma City
Schools: Hard Knocks
Re: As shown in the figure above, a thin conveyor belt 15 feet long is dra [#permalink]

Show Tags

New post 29 Jul 2009, 20:16
4
This post received
KUDOS
2
This post was
BOOKMARKED
It is always better to include the picture rather than just reference the picture. You're more likely to get responses by putting in the actual question.

Attachment:
ConveyorBelt.png
ConveyorBelt.png [ 7.3 KiB | Viewed 10513 times ]


As shown in the figure above, a thin coveyor belt 15 feet 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.

a) [m]\frac{15-∏}{2}

b) [m]\frac{5∏}{4}

c) 15 - 2∏

d) 15 - ∏

e) 2∏

A is correct because you have 15 total feet around the belt. There are 2 wheels, but instead of subtracting the circumference of both wheels, we only have to do the circumference of 1 wheel because the belt is only touching 1/2 of each wheel. The diameter is 1 foot, so in terms of circumference, that is ∏ * diameter or ∏. See the picture below.
Attachment:
ConveyorBeltRed.png
ConveyorBeltRed.png [ 7.31 KiB | Viewed 10515 times ]

The red represents what has not been determined by the circumference of the wheel. The length of each red segment is the same length as the distance between the centers of the wheel. Because these 2 red segments are part of the belt, we know it's length if 15 feet long, minus the portion we just figured for around each half of the wheel, or 15 - ∏, but this is the length for both of them, and the distance between the center of the wheels is the same as the length of only one (1) of them, so we need to divide by 2. That give us a) for the answer.
_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 623 [4], given: 32

1 KUDOS received
Intern
Intern
avatar
Joined: 30 Jul 2009
Posts: 2

Kudos [?]: 1 [1], given: 0

Re: As shown in the figure above, a thin conveyor belt 15 feet long is dra [#permalink]

Show Tags

New post 30 Jul 2009, 19:59
1
This post received
KUDOS
Total length=15 ft
both cricles are consuming= pi length=(half circumfrence of c1 + half circumfrence of c2)
Circumference= 2*pi*r
r=d/2=1/2
Half circumference=pi/2
Both circles consume=2*pi/2=pi
Now to find distance between two centers=(15-pi) is twice distance from centers of two circles.
therefore actual distance=(15-pi)/2

Kudos [?]: 1 [1], given: 0

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15657

Kudos [?]: 282 [0], given: 0

Premium Member
Re: As shown in the figure above, a thin conveyor belt 15 feet long is [#permalink]

Show Tags

New post 16 Jul 2015, 05:58
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 282 [0], given: 0

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15657

Kudos [?]: 282 [0], given: 0

Premium Member
Re: As shown in the figure above, a thin conveyor belt 15 feet long is dra [#permalink]

Show Tags

New post 16 Jul 2015, 06:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 282 [0], given: 0

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42259

Kudos [?]: 132706 [0], given: 12335

Re: As shown in the figure above, a thin conveyor belt 15 feet long is [#permalink]

Show Tags

New post 16 Jul 2015, 08:53
GMAT_700 wrote:
Image
As shown in the figure above, a thin conveyor belt 15 feet 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?

A. \(\frac{15-\pi}{2}\)

B. \(\frac{5\pi}{4}\)

C. \(15-2\pi\)

D. \(15-\pi\)

E. \(2\pi\)

[Reveal] Spoiler:
Attachment:
Conveyer Belt.jpg


Similar question to practice: as-shown-in-the-figure-above-a-thin-conveyor-belt-12-meters-160447.html
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 132706 [0], given: 12335

Re: As shown in the figure above, a thin conveyor belt 15 feet long is   [#permalink] 16 Jul 2015, 08:53
Display posts from previous: Sort by

As shown in the figure above, a thin conveyor belt 15 feet long is

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.