GMAT Question of the Day - Daily to your Mailbox; hard ones only
close

It is currently 16 Dec 2018, 02:36
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
Unanswered

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
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar

  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.
    GMAT: Verbal | GMAT: Quantitative | Free

  • Free GMAT Prep Hour

     December 16, 2018

     December 16, 2018

     03:00 PM EST

     04:00 PM EST

    Strategies and techniques for approaching featured GMAT topics
    GMAT: Verbal | GMAT: Quantitative | Free
CLICK HERE TO HIDE/SHOW EVENTS

Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
  Sort by Date Sort by Kudos  
Search for:
 
Print view
First unread post
Author Message
TAGS:

Hide Tags
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51223
Premium Member
Top Member of the Month
Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of  [#permalink]

Show Tags

New post 13 Dec 2015, 04:02
2
11
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

65% (01:44) correct 35% (02:02) wrong based on 294 sessions

HideShow timer Statistics

Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 6: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?

A. 7: 00 p.m.
B. 7: 30 p.m.
C. 7: 45 p.m.
D. 8: 00 p.m.
E. 8: 30 p.m.
Spoiler: OA

_________________

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

Most Helpful Community Reply
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1129
Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of  [#permalink]

Show Tags

New post 13 Dec 2015, 09:09
3
3
M gains 50-30=20 pages per hour on R
at 6pm R has read 45 pages and M is 45+5=50 pages behind him
time=50/20=2.5 hours
they are on the same page at 8:30pm
General Discussion
Director
Director
User avatar
G
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Premium Member
Re: Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of  [#permalink]

Show Tags

New post 13 Dec 2015, 09:39
2
Ron's speed is 30 pages per hour =1/2 page per minute
Time at which he starts reading is 4:30 pm
now,
by the time Michelle beings reading (6:00 pm) Ron has already covered (1/2)*90=45 pages
as per the question
Michelle starts 5 pages behind the page Ron started and her speed is 5/6 pages per minute
relative speed = 5/6-1/2=1/3
pages left =45+5=50
time taken to read those pages =50/(1/3)=150 minutes
Thus time taken to reach the same page
6:00 pm + (150 minutes) =8:30 pm
Intern
Intern
avatar
Joined: 21 Mar 2014
Posts: 33
Re: Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of  [#permalink]

Show Tags

New post 14 Dec 2015, 13:01
3
1
here's how i took it.... Ron started walking at 4.30 PM, with a constant speed of 30mph. Michelle started travelling in the same direction at 6.00PM, with a speed of 50mph, but started 5 kms behind the point from where Ron started.
in 1.5 hours ron travelled 45 kms, so the distance bw ron and michelle at 6.00 pm (when michelle started) was 45+5=50 miles.
so, the cumulative speed is 50-30=20 mph, distance is 50, time taken is 2.5 hrs.(50/20)
Hence they will be at the same point at 8.30 pm.....
_________________

kinaare paaon phailane lage hian,
nadi se roz mitti kat rahi hai....

Current Student
User avatar
Joined: 18 Oct 2014
Posts: 846
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of  [#permalink]

Show Tags

New post 15 Dec 2015, 14:38
1
IMO answer is 'D'

Till 8 O'clock ron will read- 30X3 +15= 105 pages
Till 8 O'Clock Michelle will read= 2X50 +5= 105 pages

I back calculated for this question.
_________________

I welcome critical analysis of my post!! That will help me reach 700+

Intern
Intern
User avatar
Joined: 11 Jan 2014
Posts: 31
Location: Viet Nam
Concentration: Accounting, Finance
GPA: 3.17
WE: Analyst (Accounting)
Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of  [#permalink]

Show Tags

New post 17 Dec 2015, 01:33
1
1
IMO the correct is D.

The number of pages Ron ahead Michelle when he starts to read: 30 *1.5 = 45 pages.
Since Michelle starts 5 pages behind the page that Ron started: the distance between R & M = 45-5 =40 pages.
Time taken by Michelle to catch up with Ron: 40/ (50-30) = 2 hours.
Therefore, the time when both meet is: 6 + 2 = 8pm.
Correct me if I am wrong.
-----------------------------------------
Kudo me if my answer is good :wink:
_________________

Never forget what you are fighting for...
and when your mind and your body tell you to quit. Your heart will tell you to fight.

Director
Director
User avatar
G
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Premium Member
Re: Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of  [#permalink]

Show Tags

New post 17 Dec 2015, 04:36
1
HEARTOFWOLF wrote:
IMO the correct is D.

The number of pages Ron ahead Michelle when he starts to read: 30 *1.5 = 45 pages.
Since Michelle starts 5 pages behind the page that Ron started: the distance between R & M = 45-5 =40 pages.
Time taken by Michelle to catch up with Ron: 40/ (50-30) = 2 hours.
Therefore, the time when both meet is: 6 + 2 = 8pm.
Correct me if I am wrong.
-----------------------------------------
Kudo me if my answer is good :wink:




The above should be 45 + 5 and not 45 -5 as she has to read additional 5 pages !!

Now,
let us take 8 pm to be the answer !!

for Ron
0.5 pages per minute
time elapsed till 8 pm =210 minutes
pages read by Ron =105 pages

for Michelle time elapsed till 8 pm =120 minutes
thus pages read= 120*5/6=100 pages (minus 5 pages as she started 5 pages behind Ron)

she is actually on 100 -5 = 95

Does not match !!


now add 30 more minutes !!

pages read by Ron =120

pages read by Michelle =150*5/6 = 125 (again minus 5 pages ) =120


MATCH !!


Thus it should be 8:30 pm
Intern
Intern
User avatar
Joined: 06 Apr 2012
Posts: 37
Re: Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of  [#permalink]

Show Tags

New post 11 Jan 2016, 20:46
Bunuel wrote:
Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 6: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?

A. 7: 00 p.m.
B. 7: 30 p.m.
C. 7: 45 p.m.
D. 8: 00 p.m.
E. 8: 30 p.m.


Used the answer choices. I still got it wrong due to a really silly mistake. :lol: :lol:

A. Ron - 2.5 hours - 75 pages; Michelle - 1 hour - 50 - 5 = 45
B. Ron - 3 hours - 90 pages; Michelle - 1.5 hours - 75 - 5 = 70 pages
C. Ron - 3.25 hours - 97.5 pages; Michelle - 1.75 hours - 87.5 - 5 = 82.5 pages
D. Ron - 3.5 hours - 105 pages; Michelle - 2 hours - 100 - 5 = 95 pages
E. Ron - 4 hours - 120 pages; Michelle - 2.5 hours - 125 - 5 = 120 pages Correct
Intern
Intern
User avatar
Joined: 11 Jan 2014
Posts: 31
Location: Viet Nam
Concentration: Accounting, Finance
GPA: 3.17
WE: Analyst (Accounting)
Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of  [#permalink]

Show Tags

New post 11 Jan 2016, 23:47
CounterSniper wrote:
HEARTOFWOLF wrote:
IMO the correct is D.

The number of pages Ron ahead Michelle when he starts to read: 30 *1.5 = 45 pages.
Since Michelle starts 5 pages behind the page that Ron started: the distance between R & M = 45-5 =40 pages.
Time taken by Michelle to catch up with Ron: 40/ (50-30) = 2 hours.
Therefore, the time when both meet is: 6 + 2 = 8pm.
Correct me if I am wrong.
-----------------------------------------
Kudo me if my answer is good :wink:




The above should be 45 + 5 and not 45 -5 as she has to read additional 5 pages !!

Now,
let us take 8 pm to be the answer !!

for Ron
0.5 pages per minute
time elapsed till 8 pm =210 minutes
pages read by Ron =105 pages

for Michelle time elapsed till 8 pm =120 minutes
thus pages read= 120*5/6=100 pages (minus 5 pages as she started 5 pages behind Ron)

she is actually on 100 -5 = 95

Does not match !!


now add 30 more minutes !!

pages read by Ron =120

pages read by Michelle =150*5/6 = 125 (again minus 5 pages ) =120


MATCH !!


Thus it should be 8:30 pm


Thanks CounterSniper, one kudo for you. I did make a mistake :)
_________________

Never forget what you are fighting for...
and when your mind and your body tell you to quit. Your heart will tell you to fight.

Manager
Manager
User avatar
S
Joined: 22 Jan 2014
Posts: 175
WE: Project Management (Computer Hardware)
Re: Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of  [#permalink]

Show Tags

New post 13 Jan 2016, 01:03
Bunuel wrote:
Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 6: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?

A. 7: 00 p.m.
B. 7: 30 p.m.
C. 7: 45 p.m.
D. 8: 00 p.m.
E. 8: 30 p.m.


50/20 = 2.5 from when Michelle started. So 8:30.
_________________

Illegitimi non carborundum.

Intern
Intern
avatar
B
Joined: 21 Mar 2016
Posts: 11
GMAT ToolKit User CAT Tests
Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of  [#permalink]

Show Tags

New post 14 Dec 2018, 00:50
my approach:

@4:30 pm Ron starts reading from page 5.
@ 5:30 pm Ron has read 30+5 pages = 35 (M=0)
@6pm he would have read 35 + 30/2 = 50 pages (M will start now)
@ 7 pm he would have read 80 pages while M would've read 50
@8 pm R = 110 M= 100
@8:30pm R= (110 + 30/2) 125 M= (100 + 50/2) 125
GMAT Club Bot
Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of &nbs [#permalink] 14 Dec 2018, 00:50
Print view
First unread post
Display posts from previous: Sort by

Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of

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

Moderators: chetan2u, Bunuel, VeritasKarishma, niks18, Gladiator59, generis

Search for:


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions