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

It is currently 22 Jan 2019, 04:41

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 in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
  • Key Strategies to Master GMAT SC

     January 26, 2019

     January 26, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

Two friends, Tanaya and Stephen were standing together. Tanaya begins

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

Hide Tags

 
Manager
Manager
avatar
Joined: 14 Oct 2014
Posts: 51
Two friends, Tanaya and Stephen were standing together. Tanaya begins  [#permalink]

Show Tags

New post Updated on: 07 Apr 2015, 09:44
5
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

64% (02:44) correct 36% (02:58) wrong based on 123 sessions

HideShow timer Statistics

Two friends, Tanaya and Stephen were standing together. Tanaya begins to walk in a straight line away from Stephen at a constant rate of 3 miles per hour. One hour later, Stephen begins to run in a straight line in the exact opposite direction at a constant rate of 9 miles per hour. If both Tanaya and Stephen continue to travel, what is the positive difference between the amount of time it takes Stephen to cover the exact distance that Tanaya has covered and the amount of time it takes Stephen to cover twice the distance that Tanaya has covered?

(A) 60 mins
(B) 72 mins
(C) 90 mins
(D) 100 mins
(E) 120 mins

I did it like this



Let's assume that by the time Stephen catches up with tanaya she has travelled x miles. In addition she covered 3 miles in 1st hour. Time taken by pooja to travel x miles = time taken by stephen to cover 3+x miles.
so
(3+x)/9=x/3 =>9x=9+3x => 6x=9 => x=3/2 = 1.5 miles. so David travels 4.5 miles to meet tanya. time taken = 4.5/9 = 30 minutes.

time taken to cover twice the distance tanya covered = 9/9= 1 hours. so difference = 60-30 = 30 minutes. But answer is 90 minutes.

PS- I Picked the question from here http://www.veritasprep.com/blog/2011/06 ... se-in-tsd/

Originally posted by manishbhusal on 07 Apr 2015, 09:30.
Last edited by Bunuel on 07 Apr 2015, 09:44, edited 1 time in total.
Renamed the topic and edited the question.
Most Helpful Community Reply
Director
Director
User avatar
Joined: 07 Aug 2011
Posts: 532
Concentration: International Business, Technology
GMAT 1: 630 Q49 V27
GMAT ToolKit User
Re: Two friends, Tanaya and Stephen were standing together. Tanaya begins  [#permalink]

Show Tags

New post 07 Apr 2015, 11:12
2
3
manishbhusal wrote:
Two friends, Tanaya and Stephen were standing together. Tanaya begins to walk in a straight line away from Stephen at a constant rate of 3 miles per hour. One hour later, Stephen begins to run in a straight line in the exact opposite direction at a constant rate of 9 miles per hour. If both Tanaya and Stephen continue to travel, what is the positive difference between the amount of time it takes Stephen to cover the exact distance that Tanaya has covered and the amount of time it takes Stephen to cover twice the distance that Tanaya has covered?

(A) 60 mins
(B) 72 mins
(C) 90 mins
(D) 100 mins
(E) 120 mins

I did it like this



Let's assume that by the time Stephen catches up with tanaya she has travelled x miles. In addition she covered 3 miles in 1st hour. Time taken by pooja to travel x miles = time taken by stephen to cover 3+x miles.
so
(3+x)/9=x/3 =>9x=9+3x => 6x=9 => x=3/2 = 1.5 miles. so David travels 4.5 miles to meet tanya. time taken = 4.5/9 = 30 minutes.

time taken to cover twice the distance tanya covered = 9/9= 1 hours. so difference = 60-30 = 30 minutes. But answer is 90 minutes.

PS- I Picked the question from here http://www.veritasprep.com/blog/2011/06 ... se-in-tsd/



Its not that hard as it seems by wording.

Let say tanya walked x miles after stephan started.
\(\frac{X+3}{9}\) =\(\frac{x}{3}\)
X=1.5 so time taken by stephen = 4.5/9=30mins

Next equation is 2x+6/9= x/3
x=6 so stephen would take 2hr

2hr-30min =90min
General Discussion
Manager
Manager
avatar
Joined: 17 Mar 2015
Posts: 116
Re: Two friends, Tanaya and Stephen were standing together. Tanaya begins  [#permalink]

Show Tags

New post 07 Apr 2015, 13:24
2
t1 - time it takes to cover the same distance tanya covered.
\(3 + t1*3 = 9*t1, t1 = 1/2\)
t2 - time it takes to cover twice of the distance Tanya covered
\(2*(3+t2*3) = 9*t2, t2 = 2\)
\(t2 - t1 = 1.5 = 90\) minutes, answer C.
Manager
Manager
avatar
Joined: 14 Oct 2014
Posts: 51
Re: Two friends, Tanaya and Stephen were standing together. Tanaya begins  [#permalink]

Show Tags

New post 07 Apr 2015, 16:59
Lucky2783 wrote:
manishbhusal wrote:
Two friends, Tanaya and Stephen were standing together. Tanaya begins to walk in a straight line away from Stephen at a constant rate of 3 miles per hour. One hour later, Stephen begins to run in a straight line in the exact opposite direction at a constant rate of 9 miles per hour. If both Tanaya and Stephen continue to travel, what is the positive difference between the amount of time it takes Stephen to cover the exact distance that Tanaya has covered and the amount of time it takes Stephen to cover twice the distance that Tanaya has covered?

(A) 60 mins
(B) 72 mins
(C) 90 mins
(D) 100 mins
(E) 120 mins

I did it like this



Let's assume that by the time Stephen catches up with tanaya she has travelled x miles. In addition she covered 3 miles in 1st hour. Time taken by pooja to travel x miles = time taken by stephen to cover 3+x miles.
so
(3+x)/9=x/3 =>9x=9+3x => 6x=9 => x=3/2 = 1.5 miles. so David travels 4.5 miles to meet tanya. time taken = 4.5/9 = 30 minutes.

time taken to cover twice the distance tanya covered = 9/9= 1 hours. so difference = 60-30 = 30 minutes. But answer is 90 minutes.

PS- I Picked the question from here http://www.veritasprep.com/blog/2011/06 ... se-in-tsd/



Its not that hard as it seems by wording.

Let say tanya walked x miles after stephan started.
\(\frac{X+3}{9}\) =\(\frac{x}{3}\)
X=1.5 so time taken by stephen = 4.5/9=30mins

Next equation is 2x+6/9= x/3
x=6 so stephen would take 2hr

2hr-30min =90min




Would you mind telling how you got the second equation. I understood the L.H.S part i.e (2x+6) is twice the distance of what tanya had covered.so time taken = (2x+6)/9, but i couldn't understand the R.H.S part of second equation . i.e how we got x/3 and how (2x+6)/9 is equal to x/3.

Thanks
Manish
Director
Director
User avatar
Joined: 07 Aug 2011
Posts: 532
Concentration: International Business, Technology
GMAT 1: 630 Q49 V27
GMAT ToolKit User
Two friends, Tanaya and Stephen were standing together. Tanaya begins  [#permalink]

Show Tags

New post 07 Apr 2015, 21:12
1
manishbhusal wrote:
Lucky2783 wrote:
manishbhusal wrote:
Two friends, Tanaya and Stephen were standing together. Tanaya begins to walk in a straight line away from Stephen at a constant rate of 3 miles per hour. One hour later, Stephen begins to run in a straight line in the exact opposite direction at a constant rate of 9 miles per hour. If both Tanaya and Stephen continue to travel, what is the positive difference between the amount of time it takes Stephen to cover the exact distance that Tanaya has covered and the amount of time it takes Stephen to cover twice the distance that Tanaya has covered?

(A) 60 mins
(B) 72 mins
(C) 90 mins
(D) 100 mins
(E) 120 mins

I did it like this



Let's assume that by the time Stephen catches up with tanaya she has travelled x miles. In addition she covered 3 miles in 1st hour. Time taken by pooja to travel x miles = time taken by stephen to cover 3+x miles.
so
(3+x)/9=x/3 =>9x=9+3x => 6x=9 => x=3/2 = 1.5 miles. so David travels 4.5 miles to meet tanya. time taken = 4.5/9 = 30 minutes.

time taken to cover twice the distance tanya covered = 9/9= 1 hours. so difference = 60-30 = 30 minutes. But answer is 90 minutes.

PS- I Picked the question from here http://www.veritasprep.com/blog/2011/06 ... se-in-tsd/



Its not that hard as it seems by wording.

Let say tanya walked x miles after stephan started.
\(\frac{X+3}{9}\) =\(\frac{x}{3}\)
X=1.5 so time taken by stephen = 4.5/9=30mins

Next equation is 2x+6/9= x/3
x=6 so stephen would take 2hr

2hr-30min =90min




Would you mind telling how you got the second equation. I understood the L.H.S part i.e (2x+6) is twice the distance of what tanya had covered.so time taken = (2x+6)/9, but i couldn't understand the R.H.S part of second equation . i.e how we got x/3 and how (2x+6)/9 is equal to x/3.

Thanks
Manish


Hi Manish,

Lets assume that Tanya walked Y Miles when Stephen ran twice the distance she walked.

stephen had to run 2*(Y+3) .

2*(Y+3) /9 = Y/3 (tanya walked only Y Miles when stephen started to run )

hope it is clear .
Attachments

gmatclub.jpg
gmatclub.jpg [ 82.78 KiB | Viewed 1894 times ]

Manager
Manager
avatar
Joined: 19 Mar 2015
Posts: 62
Re: Two friends, Tanaya and Stephen were standing together. Tanaya begins  [#permalink]

Show Tags

New post 08 Apr 2015, 01:30
1
Assume Tanya travels for t hours.
So, Stephen travels for (t-1) hours

Since distance is the same
3t = 9(t-1)
t = 1.5 hours
So, Stephen travels for 0.5 hours to travel the same distance as Tanya.

Now, Stephen is supposed to travel twice the distance.
Again, suppose Tanya travels for t hours
So, Stephen travels for (t-1) hours
Since Stephen travels twice the distance as Tanya does,
9(t-1) = 2*3t
t = 3 hours
So, Stephen travels for 2 hours to travel twice the distance as Tanya.

So, difference = 2 - 0.5 = 1.5 hours = 90 minutes.
Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2598
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: Two friends, Tanaya and Stephen were standing together. Tanaya begins  [#permalink]

Show Tags

New post 21 Feb 2016, 10:51
1
manishbhusal wrote:
Two friends, Tanaya and Stephen were standing together. Tanaya begins to walk in a straight line away from Stephen at a constant rate of 3 miles per hour. One hour later, Stephen begins to run in a straight line in the exact opposite direction at a constant rate of 9 miles per hour. If both Tanaya and Stephen continue to travel, what is the positive difference between the amount of time it takes Stephen to cover the exact distance that Tanaya has covered and the amount of time it takes Stephen to cover twice the distance that Tanaya has covered?

(A) 60 mins
(B) 72 mins
(C) 90 mins
(D) 100 mins
(E) 120 mins



oh nice..that's a good brain killer.

after 1 hour, tanya traveled for 3 miles. Stephen 0.
after 2 hours, tanya - 6 miles, stephen -9 miles
after 3 hours, tanya 9 miles, stephen - 18 miles.
ok, so stephen needs 2 hours to cover twice the distance tanya has walked.

now, time needed for stephan to cover the same distance tanya has walked.
1 hour -> tanya 3, stephen -0.
we know the rates of each.
in 20 minutes, tanya walks 1 miles, stephen 3.
so after 1h 20 mins, tanya walked 4 miles. stephen in 20 mins - 3 miles.
so if 20 mins for tanya 1 mile and for stephen 3, then in 10 mins, tanya will walk 0.5 miles and stephen 1.5
so...after another 10 mins, tanya 4.5 miles, stephen 4.5 miles.
we can see that stephen needs 30 mins to cover the same distance that tanya has covered.

now, 30-120=-90. since we are asked for the POSITIVE difference, -90*-1 = 90 mins.
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1152
Two friends, Tanaya and Stephen were standing together. Tanaya begins  [#permalink]

Show Tags

New post 21 Feb 2016, 13:03
let t=Stephen's time
t+1=Tanaya's time
equation 1: 9t=3(t+1)
t=1/2 hour=30 minutes
equation 2: 9t=(2)(3)(t+1)
t=2 hours=120 minutes
120-30=90 minutes
Manager
Manager
User avatar
B
Joined: 09 Aug 2017
Posts: 62
Location: United States
Concentration: Technology
GMAT 1: 640 Q44 V33
GMAT 2: 630 Q47 V29
WE: Research (Investment Banking)
Two friends, Tanaya and Stephen were standing together. Tanaya begins  [#permalink]

Show Tags

New post 12 Jan 2018, 06:46
I'll be honest this is a really poorly written question and I have to wonder if this was written by a native English speaker because what the question is asking for isn't an answer. The positive difference between the distance she's covered and twice the distance she's covered is going to change based on how long she's walking. We don't know how long she's been walking. This question needs to be rewritten.
_________________

I'd love to hear any feedback or ways to improve my problem solving. I make a lot of silly mistakes. If you've had luck improving on stupid mistakes, I'd love to hear how you did it.

Also, I appreciate any kudos.

GMAT Club Bot
Two friends, Tanaya and Stephen were standing together. Tanaya begins &nbs [#permalink] 12 Jan 2018, 06:46
Display posts from previous: Sort by

Two friends, Tanaya and Stephen were standing together. Tanaya begins

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


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®.