It is currently 18 Jan 2018, 13:21

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# The figure above shows a path around a triangular piece of land. Mary

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43323

Kudos [?]: 139430 [0], given: 12790

The figure above shows a path around a triangular piece of land. Mary [#permalink]

### Show Tags

14 Oct 2015, 20:26
Expert's post
4
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

91% (00:46) correct 9% (00:45) wrong based on 819 sessions

### HideShow timer Statistics

The figure above shows a path around a triangular piece of land. Mary walked the distance of 8 miles from P to Q and then walked the distance of 6 miles from Q to R. If Ted walked directly from P to R, by what percent did the distance that Mary walked exceed the distance that Ted walked?

(A) 30%
(B) 40%
(C) 50%
(D) 60%
(E) 80%

Kudos for a correct solution.

[Reveal] Spoiler:
Attachment:

2015-10-15_0825.png [ 4.43 KiB | Viewed 7917 times ]
[Reveal] Spoiler: OA

_________________

Kudos [?]: 139430 [0], given: 12790

SVP
Joined: 08 Jul 2010
Posts: 1911

Kudos [?]: 2474 [0], given: 51

Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: The figure above shows a path around a triangular piece of land. Mary [#permalink]

### Show Tags

14 Oct 2015, 21:14
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:

The figure above shows a path around a triangular piece of land. Mary walked the distance of 8 miles from P to Q and then walked the distance of 6 miles from Q to R. If Ted walked directly from P to R, by what percent did the distance that Mary walked exceed the distance that Ted walked?

(A) 30%
(B) 40%
(C) 50%
(D) 60%
(E) 80%

Kudos for a correct solution.

[Reveal] Spoiler:
Attachment:
2015-10-15_0825.png

PR = $$\sqrt{8^2+6^2} = 10$$

DIstance walked by Mary = 8+6 = 14

% Exceeded distance of Mary = (14-10)*100/10 = 40%

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Kudos [?]: 2474 [0], given: 51

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4683

Kudos [?]: 3313 [1], given: 0

GPA: 3.82
Re: The figure above shows a path around a triangular piece of land. Mary [#permalink]

### Show Tags

15 Oct 2015, 00:52
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.

The figure above shows a path around a triangular piece of land. Mary walked the distance of 8 miles from P to Q and then walked the distance of 6 miles from Q to R. If Ted walked directly from P to R, by what percent did the distance that Mary walked exceed the distance that Ted walked?

(A) 30%
(B) 40%
(C) 50%
(D) 60%
(E) 80%

The total distance Mary walked is 8+6=14 miles, while the distance Ted walked is 10 miles( by the Pythagorean theorem √(8^2 +6^2)=√(100)=10).
So Mary walked 4 miles more than Ted. That means Mary walked 40%((4/10)*100) more walked than Ted. So the answer is (B).
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Kudos [?]: 3313 [1], given: 0

Senior Manager
Joined: 23 Feb 2015
Posts: 473

Kudos [?]: 232 [0], given: 179

Re: The figure above shows a path around a triangular piece of land. Mary [#permalink]

### Show Tags

17 Nov 2016, 08:36
Bunuel wrote:

The figure above shows a path around a triangular piece of land. Mary walked the distance of 8 miles from P to Q and then walked the distance of 6 miles from Q to R. If Ted walked directly from P to R, by what percent did the distance that Mary walked exceed the distance that Ted walked?

(A) 30%
(B) 40%
(C) 50%
(D) 60%
(E) 80%

Kudos for a correct solution.

[Reveal] Spoiler:
Attachment:
2015-10-15_0825.png

The standard measurement of 90 degree scale is 3-4-5
So, if we multiply the measurement by 2 then I’ll get it as 6-8-10.
That means, PQ=10,
So, Ted’s walk distance is 10.
Distance walked by Mary = 8+6 = 14.
So Mary walked 4 miles more than Ted. If I want to make 100% of Mary’s walk, I have to multiply it by 10. Simultaneously, Ted’s walk will be 4*10=40%. So the answer is (B)
_________________

“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”

Kudos [?]: 232 [0], given: 179

Senior Manager
Status: Professional GMAT Tutor
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 479

Kudos [?]: 583 [1], given: 63

Location: United States (CA)
Age: 38
GMAT 1: 770 Q47 V48
GMAT 2: 730 Q44 V47
GMAT 3: 750 Q50 V42
GRE 1: 337 Q168 V169
WE: Education (Education)
Re: The figure above shows a path around a triangular piece of land. Mary [#permalink]

### Show Tags

30 May 2017, 15:13
1
KUDOS
Top Contributor
Attached is a visual that should help.
Attachments

Screen Shot 2017-05-30 at 4.07.21 PM.png [ 133.22 KiB | Viewed 2637 times ]

_________________

Harvard grad and 770 GMAT scorer, offering high-quality private GMAT tutoring, both in-person and online via Skype, since 2002.

GMAT Action Plan - McElroy Tutoring

Kudos [?]: 583 [1], given: 63

Intern
Joined: 11 Nov 2017
Posts: 1

Kudos [?]: 0 [0], given: 2

Re: The figure above shows a path around a triangular piece of land. Mary [#permalink]

### Show Tags

10 Dec 2017, 13:29
Area = 1/2 bh
Area = 1/2 8*6
Area = 1/2 48
Area = 24

24 - 8 - 6 = distance Ted walked PR =10

Mary = 14
Ted = 10

Difference 4
Percentage difference 4/10
40%

Posted from my mobile device

Posted from my mobile device

Kudos [?]: 0 [0], given: 2

Re: The figure above shows a path around a triangular piece of land. Mary   [#permalink] 10 Dec 2017, 13:29
Display posts from previous: Sort by