Last visit was: 12 Dec 2024, 15:19 It is currently 12 Dec 2024, 15:19
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
User avatar
megafan
Joined: 28 May 2009
Last visit: 15 Oct 2017
Posts: 138
Own Kudos:
873
 []
Given Kudos: 91
Location: United States
Concentration: Strategy, General Management
GMAT Date: 03-22-2013
GPA: 3.57
WE:Information Technology (Consulting)
Posts: 138
Kudos: 873
 []
1
Kudos
Add Kudos
15
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
ConnectTheDots
Joined: 28 Apr 2012
Last visit: 06 May 2020
Posts: 239
Own Kudos:
979
 []
Given Kudos: 142
Location: India
Concentration: Finance, Technology
GMAT 1: 650 Q48 V31
GMAT 2: 770 Q50 V47
WE:Information Technology (Computer Software)
6
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
General Discussion
User avatar
shanmugamgsn
Joined: 04 Oct 2011
Last visit: 31 Dec 2014
Posts: 141
Own Kudos:
146
 []
Given Kudos: 44
Location: India
Concentration: Entrepreneurship, International Business
GMAT 1: 440 Q33 V13
GPA: 3
GMAT 1: 440 Q33 V13
Posts: 141
Kudos: 146
 []
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
GMATAcademy
Joined: 25 Jun 2016
Last visit: 03 Mar 2020
Posts: 58
Own Kudos:
Given Kudos: 4
GMAT 1: 780 Q51 V46
GMAT 1: 780 Q51 V46
Posts: 58
Kudos: 578
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Value Substitution works pretty well here.

To make life easy, lets say p = 4 and q = 10.

Then the question becomes: Working at the same constant rate, 4 bricklayers can lay a total of 10 bricks per hour. At this rate, how many bricks could 4 bricklayers lay in 8 hours?

Well if those four can do 10 each hour, then after 8 hours they'll have done 80. So when p = 4 and q = 10, the answer is 80.

Plugging our numbers into the answer choices, we see that only E yields 80.
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 3,023
Own Kudos:
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert reply
Posts: 3,023
Kudos: 7,205
Kudos
Add Kudos
Bookmarks
Bookmark this Post
megafan
Working at the same constant rate, p bricklayers can lay a total of q bricks per hour. At this rate, how many bricks could 4 bricklayers lay in 8 hours?

(a) \(\frac{p}{2q}\)

(b) \(\frac{2p}{q}\)

(c) \(\frac{32p}{q}\)

(d) \(\frac{2q}{p}\)

(e) \(\frac{32q}{p}\)

We are given that p bricklayers lay a total of q bricks per hour. Thus, the rate for p bricklayers is q. We next need to determine the rate of 4 bricklayers. To determine that rate, we can create a proportion, in which r is the rate for the 4 bricklayers:

p/q = 4/r

pr = 4q

r = 4q/p

Using the formula for work, which is work = rate x time, we see that 4 bricklayers can lay (4q/p) x 8 = 32q/p bricks in 8 hours.

Answer: E
User avatar
cavana
Joined: 20 Jan 2017
Last visit: 20 Jun 2018
Posts: 34
Own Kudos:
Given Kudos: 15
Location: United States (NY)
Schools: CBS '20 (A)
GMAT 1: 610 Q34 V41
GMAT 2: 750 Q48 V44
GPA: 3.92
Products:
Schools: CBS '20 (A)
GMAT 2: 750 Q48 V44
Posts: 34
Kudos: 43
Kudos
Add Kudos
Bookmarks
Bookmark this Post
1) \(pr=\frac{q}{1}; r=\frac{q}{1}*\frac{1}{p}=\frac{q}{p}\)
2) \(4r=\frac{x}{8}; \frac{4q}{p}=\frac{x}{8}; xp=32q; x=\frac{32q}{p}\)
User avatar
u1983
User avatar
Current Student
Joined: 24 Aug 2016
Last visit: 06 Jun 2021
Posts: 724
Own Kudos:
Given Kudos: 97
GMAT 1: 540 Q49 V16
GMAT 2: 680 Q49 V33
Products:
GMAT 2: 680 Q49 V33
Posts: 724
Kudos: 815
Kudos
Add Kudos
Bookmarks
Bookmark this Post
p bricklayers in 1 hr lay q bricks
Hence 1 bricklayer in 1 hr lays \(\frac{q}{p}\) bricks
Hence 8 bricklayer in 8 hr lay \(\frac{q*8*4}{p}\) bricks i.e., \(\frac{32q}{p}\) bricks .... ANS e
User avatar
ThatDudeKnows
Joined: 11 May 2022
Last visit: 27 Jun 2024
Posts: 1,078
Own Kudos:
Given Kudos: 79
Expert reply
Posts: 1,078
Kudos: 805
Kudos
Add Kudos
Bookmarks
Bookmark this Post
megafan
Working at the same constant rate, p bricklayers can lay a total of q bricks per hour. At this rate, how many bricks could 4 bricklayers lay in 8 hours?

(a) \(\frac{p}{2q}\)

(b) \(\frac{2p}{q}\)

(c) \(\frac{32p}{q}\)

(d) \(\frac{2q}{p}\)

(e) \(\frac{32q}{p}\)

Source: Gmat Hacks 1800

Variables in the question that are repeated in the answer choices? We can Plug In!!

Let's give ourselves easy numbers...p=4 and q=0.125. How many do they lay in 8 hours? 1 lousy brick.

We can tell by glancing at the answer choices that any with q or 2q in the denominator and p in the numerator are going to be (far) greater than 1.

Answer choice E.


ThatDudeKnowsPluggingIn
Moderator:
Math Expert
97851 posts