Last visit was: 28 Apr 2026, 19:09 It is currently 28 Apr 2026, 19:09
Home
Messages
Tests
Schools
Events
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
Back to Forum
Create Topic
User avatar
mikemcgarry
User avatar
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Last visit: 06 Aug 2018
Posts: 4,474
Own Kudos:
30,891
 [7]
Given Kudos: 130
Expert
Expert reply
Posts: 4,474
Kudos: 30,891
 [7]
Marcia took a trip consisting of three segments at three different spe Updated on: 10 Jun 2019, 01:05
Originally posted by mikemcgarry on 17 Jul 2013, 09:50.
Last edited by Bunuel on 10 Jun 2019, 01:05, edited 2 times in total.
2
Kudos
Add Kudos
5
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

79% (01:42) correct 21% (01:47) wrong based on 345 sessions

History

Date
Time
Result
Not Attempted Yet
Marcia took a trip consisting of three segments at three different speeds: she drove a distance of (5D) at a speed of (2v), then a distance of (4D) at a speed of (3v), then a distance of D at a speed of (6v). In terms of D & v, what was the total time of Marcia’s trip?


(A) \(\frac{4D}{v}\)

(B) \(\frac{4v}{D}\)

(C) \(\frac{10D}{11v}\)

(D) \(\frac{10v}{11D}\)

(E) \(\frac{11D}{10v}\)


For help with plugging in numbers as a strategy, as well as a complete explanation of this problem, see:
https://magoosh.com/gmat/2013/how-to-plu ... questions/

Mike :-)
ShowHide Answer
Official Answer
A
User avatar
Zarrolou
User avatar
Joined: 02 Sep 2012
Last visit: 11 Dec 2013
Posts: 842
Own Kudos:
5,188
 [1]
Given Kudos: 219
Status:Far, far away!
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Posts: 842
Kudos: 5,188
 [1]
Marcia took a trip consisting of three segments at three different spe 17 Jul 2013, 10:00
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
mikemcgarry
Marcia took a trip consisting of three segments at three different speeds: she drove a distance of (5D) at a speed of (2v), then a distance of (4D) at a speed of (3v), then a distance of D at a speed of (6v). In terms of D & v, what was the total time of Marcia’s trip?
(A) \(\frac{2D}{v}\)

(B) \(\frac{2v}{D}\)

(C) \(\frac{10D}{11v}\)

(D) \(\frac{10v}{11D}\)

(E) \(\frac{11D}{10v}\)

For help with plugging in numbers as a strategy, as well as a complete explanation of this problem, see:
https://magoosh.com/gmat/2013/how-to-plu ... questions/

Mike :-)
Show more

\(speedXtime=space\) so \(time=\frac{space}{speed}\)

\(time=time_1+time_2+time_3=\frac{5D}{2v}+\frac{4D}{3v}+\frac{D}{6v}=\frac{4D}{v}\)

Am I right? Is there a typo Mike?
User avatar
mikemcgarry
User avatar
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Last visit: 06 Aug 2018
Posts: 4,474
Own Kudos:
30,891
Given Kudos: 130
Expert
Expert reply
Posts: 4,474
Kudos: 30,891
Marcia took a trip consisting of three segments at three different spe 17 Jul 2013, 10:49
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Zarrolou


\(speedXtime=space\) so \(time=\frac{space}{speed}\)

\(time=time_1+time_2+time_3=\frac{5D}{2v}+\frac{4D}{3v}+\frac{D}{6v}=\frac{4D}{v}\)

Am I right? Is there a typo Mike?
Show more
Odds Bodkins! I'm sorry! Indeed, that is a typo! Sir, you are of course quite correct. Thank you very much for pointing this out! I changed it here, and now I have to change it on the blog.
Thanks again,
Mike :-)
User avatar
mikemcgarry
User avatar
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Last visit: 06 Aug 2018
Posts: 4,474
Own Kudos:
30,891
 [3]
Given Kudos: 130
Expert
Expert reply
Posts: 4,474
Kudos: 30,891
 [3]
Marcia took a trip consisting of three segments at three different spe 06 Jan 2014, 17:26
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Marcia took a trip consisting of three segments at three different speeds: she drove a distance of (5D) at a speed of (2v), then a distance of (4D) at a speed of (3v), then a distance of D at a speed of (6v). In terms of D & v, what was the total time of Marcia’s trip?
(A) 4D/v
(B) 4v/D
(C) (10D)/(11v)
(D) (10v)/(11D)
(E) (11D)/(10v)

For a discussion of picking numbers as a problem solving strategy, as well as a complete explanation of this particular question, see:
https://magoosh.com/gmat/2013/how-to-plu ... questions/

Mike :-)
User avatar
bhatiamanu05
User avatar
Joined: 19 Apr 2013
Last visit: 03 Aug 2017
Posts: 55
Own Kudos:
205
 [2]
Given Kudos: 9
Concentration: Entrepreneurship, Finance
GMAT Date: 06-05-2015
GPA: 3.88
WE:Programming (Computer Software)
Posts: 55
Kudos: 205
 [2]
Marcia took a trip consisting of three segments at three different spe 06 Jan 2014, 18:50
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
mikemcgarry
Marcia took a trip consisting of three segments at three different speeds: she drove a distance of (5D) at a speed of (2v), then a distance of (4D) at a speed of (3v), then a distance of D at a speed of (6v). In terms of D & v, what was the total time of Marcia’s trip?
(A) 4D/v
(B) 4v/D
(C) (10D)/(11v)
(D) (10v)/(11D)
(E) (11D)/(10v)

For a discussion of picking numbers as a problem solving strategy, as well as a complete explanation of this particular question, see:
https://magoosh.com/gmat/2013/how-to-plu ... questions/

Mike :-)
Show more


Total time can be evaluated by total time in segments.

Time = distance/Speed

T1 = 5D/2V
T2 = 4D/3V
T3= D/6V

Total Time = T1+T2+T3

5D/2V+4D/3V+D/6V = 24D/6V = 4D/V

Hence A is this answer.
User avatar
arunspanda
User avatar
Joined: 04 Oct 2013
Last visit: 31 Oct 2021
Posts: 127
Own Kudos:
341
Given Kudos: 55
Location: India
GMAT Date: 05-23-2015
GPA: 3.45
Products:
My Reviews
Posts: 127
Kudos: 341
Marcia took a trip consisting of three segments at three different spe 07 Jan 2014, 05:19
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Marcia took a trip consisting of three segments at three different speeds: she drove a distance of (5D) at a speed of (2v), then a distance of (4D) at a speed of (3v), then a distance of D at a speed of (6v). In terms of D & v, what was the total time of Marcia’s trip?
(A) 4D/v
(B) 4v/D
(C) (10D)/(11v)
(D) (10v)/(11D)
(E) (11D)/(10v)

Trip distance: 5D.............4D................D

Velocity :2v...............3v................6v

Time :5D/2v...........4D/3v..........D/6v

So, total time of Marcia's Trip = 5D/2v + 4D/3v + D/6v
= 15D/6v + 8D/6v + D/6v
= 24D/6v
= 4 D/v
Answer (A)

Alternative Solution

Let D = 100 and v= 50.
So, D/v = 2

Trip distance:500...........400...........100

Velocity :100...........150............300

Time [= Trip Distance/Velocity]:5........... 8/3............1/3

So, Total Trip Time = 5 + 8/3 + 1/3
= 24/3
= 8..................(1)

Back solving, starting from (C), plugging (D/v) as 2 and evaluating each choice to see which one equals 8 [as calculated in (1)]

(A) 4D/v ............................. 4* 2 =8.....matches the answer (1) calculated above.
(B) 4v/D . ........................... eliminate as v/D is not time
(C) (10D)/(11v)................... (10/11)*2....definitely not 8, hence eliminate.
(D) (10v)/(11D)
(E) (11D)/(10v)[/color]

Answer (A).
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 28 Apr 2026
Posts: 22,294
Own Kudos:
26,551
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,294
Kudos: 26,551
Marcia took a trip consisting of three segments at three different spe 14 Feb 2018, 11:01
Kudos
Add Kudos
Bookmarks
Bookmark this Post
mikemcgarry
Marcia took a trip consisting of three segments at three different speeds: she drove a distance of (5D) at a speed of (2v), then a distance of (4D) at a speed of (3v), then a distance of D at a speed of (6v). In terms of D & v, what was the total time of Marcia’s trip?
(A) 4D/v
(B) 4v/D
(C) (10D)/(11v)
(D) (10v)/(11D)
(E) (11D)/(10v)
Show more

The time for her first leg of the trip is 5D/(2v).

The time for her second leg is 4D/(3v).

The time for her last leg is: D/(6v).

Thus the total time is:

5D/(2v) + 4D/(3v) + D/(6v)

15D/(6v) + 8D/(6v) + D/(6v)

24D/(6v)

4D/v

Answer: A
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,987
Own Kudos:
1,119
Posts: 38,987
Kudos: 1,119
Marcia took a trip consisting of three segments at three different spe 05 Nov 2024, 01:51
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109950 posts
Krunaal
Tuck School Moderator
852 posts