NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 07:07 It is currently 26 Apr 2024, 07:07
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Derek can read x pages in 5 minutes. At this rate, how long will it

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92933
Own Kudos [?]: 619173 [3]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Derek can read x pages in 5 minutes. At this rate, how long will it [#permalink] New post   02 Dec 2015, 06:51
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

67% (00:45) correct 33% (00:56) wrong based on 141 sessions
Hide Show timer Statistics
Derek can read x pages in 5 minutes. At this rate, how long will it take him to read p pages?

A. 5p/x
B. 5x/p
C. p/(5x)
D. 5/(px)
E. px/5
ShowHide Answer
Official Answer
A
User avatar
suresh8055
Intern
Intern
Joined: 11 Mar 2015
Posts: 15
Own Kudos [?]: 13 [0]
Given Kudos: 18
GPA: 3.4
Send PM
Re: Derek can read x pages in 5 minutes. At this rate, how long will it [#permalink] New post   02 Dec 2015, 06:55
As given
x pages in 5 min, so pages per min = x/5
for P pages time = No .of pages /Pages per min
=p/x/5
=5p/x


Hence A
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5962
Own Kudos [?]: 13391 [0]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Re: Derek can read x pages in 5 minutes. At this rate, how long will it [#permalink] New post   02 Dec 2015, 07:13
Expert Reply
Bunuel wrote:
Derek can read x pages in 5 minutes. At this rate, how long will it take him to read p pages?

A. 5p/x
B. 5x/p
C. p/(5x)
D. 5/(px)
E. px/5


x page in 5 mins

i.e. 1 page in 5/x mins

i.e. p pages in (5/x)*p

Answer: option A
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22056 [1]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: Derek can read x pages in 5 minutes. At this rate, how long will it [#permalink] New post   02 Feb 2018, 12:25
1
Kudos
Expert Reply
Bunuel wrote:
Derek can read x pages in 5 minutes. At this rate, how long will it take him to read p pages?

A. 5p/x
B. 5x/p
C. p/(5x)
D. 5/(px)
E. px/5


The rate for Derek is x/5, is it takes Derek p/(x/5) = 5p/x minutes.

Answer: A
User avatar
L
generis
Senior SC Moderator
Joined: 22 May 2016
Posts: 5330
Own Kudos [?]: 35496 [0]
Given Kudos: 9464
Send PM
CAT Tests
Derek can read x pages in 5 minutes. At this rate, how long will it [#permalink] New post   02 Feb 2018, 15:43
Expert Reply
Bunuel wrote:
Derek can read x pages in 5 minutes. At this rate, how long will it take him to read p pages?

A. 5p/x
B. 5x/p
C. p/(5x)
D. 5/(px)
E. px/5

Another approach: assign values. Pick values that prevent your having to work with fractions less than 1 (e.g. don't pick x = 1 and p = 2)

Let x = 10 pages
Let p = 20 pages

Derek reads \(\frac{10pgs}{5mins}\). How long to read 20 pages?

Mental math:
Twice as many pages, twice as much time = 10 minutes, OR

\(\frac{10pgs}{5mins}=\frac{20pgs}{X mins}\)
\(10 * X = 5 * 20\)
\(10X = 100\)
\(X = 10\) minutes

Use x = 10, p = 20. Find the answer that yields 10.

Eliminate D and E immediately. Look at numerators and denominators. D is too small and E is too large.

A. 5p/x
\(\frac{(5*20)}{10}= \frac{100}{10} = 10\) MATCH

B. 5x/p
\(\frac{(5*10)}{20}= \frac{50}{20}=\frac{5}{2}\) NOT A MATCH

C. p/(5x)
\(\frac{20}{5*10}= \frac{20}{50}\) NOT A MATCH

D. 5/(px) - dismiss. It's tiny.

E. px/5 - dismiss. It's huge.

ANSWER A

*With this method, you must check all answers that you cannot eliminate immediately, such as D and E here. If more than one answer yields 10 (rare), pick a new set of numbers.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32684
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: Derek can read x pages in 5 minutes. At this rate, how long will it [#permalink] New post   09 Apr 2019, 04:16
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 Club Bot
gmatclubot
Re: Derek can read x pages in 5 minutes. At this rate, how long will it [#permalink]
09 Apr 2019, 04:16
Moderators:
Bunuel
Math Expert
92933 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions