It is currently 23 Nov 2017, 12:00

### 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

# The circumference of the front wheel of a cart is 30 ft long

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

### Hide Tags

Senior Manager
Status: Not afraid of failures, disappointments, and falls.
Joined: 20 Jan 2010
Posts: 290

Kudos [?]: 266 [2], given: 260

Concentration: Technology, Entrepreneurship
WE: Operations (Telecommunications)
The circumference of the front wheel of a cart is 30 ft long [#permalink]

### Show Tags

19 Feb 2010, 13:43
2
KUDOS
11
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

67% (01:47) correct 33% (01:54) wrong based on 279 sessions

### HideShow timer Statistics

The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 36 ft long. What is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel?

A. 20 ft
B. 25 ft
C. 750 ft
D. 900 ft
E. 1000 ft
[Reveal] Spoiler: OA

_________________

"I choose to rise after every fall"
Target=770
http://challengemba.blogspot.com
Kudos??

Last edited by Bunuel on 16 Oct 2012, 06:09, edited 1 time in total.
Edited the question and added the OA.

Kudos [?]: 266 [2], given: 260

Manager
Joined: 24 Aug 2009
Posts: 149

Kudos [?]: 125 [0], given: 46

Re: The circumference of the front wheel [#permalink]

### Show Tags

19 Feb 2010, 13:54
AtifS wrote:
The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 36 ft long. What is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel?
A. 20 ft
B. 25 ft
C. 750 ft
D. 900 ft
E. 1000 ft

Any thoughts guys?

@Moderators, please! MERGE IT IF ALREADY POSTED.

Answer is D. 900/36 ~ 25 (backwheel revolution) = 900/30 ~ 30 front wheel revolution

Kudos [?]: 125 [0], given: 46

Manager
Joined: 26 May 2005
Posts: 203

Kudos [?]: 133 [4], given: 1

Re: The circumference of the front wheel [#permalink]

### Show Tags

19 Feb 2010, 13:56
4
KUDOS
- for one full revolutions of rear wheel, front wheel would revolve 1 + 1/5 revolutions(36(rear wheel) = 30(front wheel) + 30/5(additional distance travelled by front wheel after it completed ONE FULL revolution))
- so event 5 revolutions of rear wheel will have 6 revolutions of front wheel.
- so 25 revolutions of rear wheel will have 30 revolutions of front wheel(5 more than the rear wheel as asked)

= 25 * 36 = 900

D

Kudos [?]: 133 [4], given: 1

Senior Manager
Joined: 19 Nov 2007
Posts: 457

Kudos [?]: 224 [2], given: 4

Re: The circumference of the front wheel [#permalink]

### Show Tags

19 Feb 2010, 14:11
2
KUDOS
1
This post was
BOOKMARKED
Plug in the options.
A and B are ruled out because they are less for 5 revolutions.
Go to C, is 750/30 - 750/36 = 5 ? No.
Go to D, is 900/30 - 900/36 = 5 ? Yes!

D it is.
_________________

-Underline your question. It takes only a few seconds!
-Search before you post.

Kudos [?]: 224 [2], given: 4

Senior Manager
Status: Not afraid of failures, disappointments, and falls.
Joined: 20 Jan 2010
Posts: 290

Kudos [?]: 266 [0], given: 260

Concentration: Technology, Entrepreneurship
WE: Operations (Telecommunications)
Re: The circumference of the front wheel [#permalink]

### Show Tags

20 Feb 2010, 00:14
Guys! thank you for your valuable explanation. I t really made easy to understand the question.

Kudos
_________________

"I choose to rise after every fall"
Target=770
http://challengemba.blogspot.com
Kudos??

Kudos [?]: 266 [0], given: 260

Intern
Joined: 27 Sep 2012
Posts: 4

Kudos [?]: 11 [2], given: 2

Re: The circumference of the front wheel [#permalink]

### Show Tags

16 Oct 2012, 01:22
2
KUDOS
1
This post was
BOOKMARKED
C1=30 ft, C2=36 ft
If Rotation1=x, d(distance)=Cx
30(x+5)=36x, x=25, d=30(25+5)=30x30=900

Kudos [?]: 11 [2], given: 2

Intern
Joined: 09 Jun 2012
Posts: 31

Kudos [?]: 26 [1], given: 13

Re: The circumference of the front wheel of a cart is 30 ft long [#permalink]

### Show Tags

18 Jul 2013, 22:43
1
KUDOS
1
This post was
BOOKMARKED
Point to note: Both the wheels would have travelled the same distance.
Now consider, no. of revolutions made by back wheel as x, which implies that the number of revolutions made by the front wheel is (x+5).
Equating the distance travelled by front wheel to back wheel: (x+5)*30 = x * 36. (Formula for calculating the distance travelled by each wheel is: # of revolutions * circumference.)
Solving this eqn. gives x=25.
Sub x=25 either in (x+5)*30 or in x * 36 to get the distance, which is 900. So the correct choice is D.

Kudos [?]: 26 [1], given: 13

Math Expert
Joined: 02 Sep 2009
Posts: 42339

Kudos [?]: 133136 [1], given: 12415

Re: The circumference of the front wheel of a cart is 30 ft long [#permalink]

### Show Tags

18 Jul 2013, 22:46
1
KUDOS
Expert's post
AtifS wrote:
The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 36 ft long. What is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel?

A. 20 ft
B. 25 ft
C. 750 ft
D. 900 ft
E. 1000 ft

Similar questions to practice:
two-wheels-are-connected-via-a-conveyor-belt-the-larger-133697.html
how-long-in-minutes-did-it-take-a-bicycle-wheel-to-roll-130026.html
_________________

Kudos [?]: 133136 [1], given: 12415

Intern
Joined: 09 Jun 2012
Posts: 31

Kudos [?]: 26 [0], given: 13

Re: The circumference of the front wheel of a cart is 30 ft long [#permalink]

### Show Tags

22 Jul 2013, 02:55
Bunuel wrote:

Both the questions need a different perspective of thinking. Thanks Bunuel for providing links to these questions!

Kudos [?]: 26 [0], given: 13

Current Student
Joined: 06 Sep 2013
Posts: 1970

Kudos [?]: 745 [2], given: 355

Concentration: Finance
Re: The circumference of the front wheel of a cart is 30 ft long [#permalink]

### Show Tags

21 Nov 2013, 14:42
2
KUDOS
1
This post was
BOOKMARKED
AtifS wrote:
The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 36 ft long. What is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel?

A. 20 ft
B. 25 ft
C. 750 ft
D. 900 ft
E. 1000 ft

Good one.

X/30 - X/36 = 5

X= 900

Cheers
J

Kudos [?]: 745 [2], given: 355

Non-Human User
Joined: 09 Sep 2013
Posts: 15509

Kudos [?]: 283 [0], given: 0

Re: The circumference of the front wheel of a cart is 30 ft long [#permalink]

### Show Tags

06 Sep 2015, 05:05
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.
_________________

Kudos [?]: 283 [0], given: 0

Non-Human User
Joined: 09 Sep 2013
Posts: 15509

Kudos [?]: 283 [0], given: 0

Re: The circumference of the front wheel of a cart is 30 ft long [#permalink]

### Show Tags

03 Jan 2017, 23:50
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.
_________________

Kudos [?]: 283 [0], given: 0

Senior Manager
Status: DONE!
Joined: 05 Sep 2016
Posts: 408

Kudos [?]: 25 [0], given: 283

Re: The circumference of the front wheel of a cart is 30 ft long [#permalink]

### Show Tags

12 Jan 2017, 20:38
Treat what they give us in the problem as a rate:

A: 1 rev/30 ft
B: 1 rev/36 ft
D = distance

D(A) = 5+D(B)
D(1/30) = 5+(1/36)
D(36-30) = 5400
6D = 5400 --> D = 900 ft

D.

Kudos [?]: 25 [0], given: 283

Re: The circumference of the front wheel of a cart is 30 ft long   [#permalink] 12 Jan 2017, 20:38
Display posts from previous: Sort by

# The circumference of the front wheel of a cart is 30 ft long

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.