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

 It is currently 20 Oct 2019, 00:27 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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  The figure above shows a path around a triangular piece of land. Mary

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

Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 58446
The figure above shows a path around a triangular piece of land. Mary  [#permalink]

Show Tags

2
7 00:00

Difficulty:   5% (low)

Question Stats: 92% (01:01) correct 8% (01:29) wrong based on 1591 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.

Attachment: 2015-10-15_0825.png [ 4.43 KiB | Viewed 19115 times ]

_________________
CEO  D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: The figure above shows a path around a triangular piece of land. Mary  [#permalink]

Show Tags

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.

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

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8017
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: The figure above shows a path around a triangular piece of land. Mary  [#permalink]

Show Tags

1
1
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).
_________________
VP  V
Joined: 23 Feb 2015
Posts: 1260
Re: The figure above shows a path around a triangular piece of land. Mary  [#permalink]

Show Tags

1
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.

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.”

Do you need official questions for Quant?
3700 Unique Official GMAT Quant Questions
------
SEARCH FOR ALL TAGS
GMAT Club Tests
Director  P
Status: Professional GMAT Tutor
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 706
Location: United States (CA)
Age: 39
GMAT 1: 770 Q47 V48 GMAT 2: 730 Q44 V47 GMAT 3: 750 Q50 V42 GRE 1: Q168 V169 WE: Education (Education)
Re: The figure above shows a path around a triangular piece of land. Mary  [#permalink]

Show Tags

6
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 13051 times ]

_________________
Harvard grad and 99% GMAT scorer, offering expert, private GMAT tutoring and coaching worldwide since 2002.

One of the only known humans to have taken the GMAT 5 times and scored in the 700s every time (700, 710, 730, 750, 770), including verified section scores of Q50 / V47, as well as personal bests of 8/8 IR (2 times), 6/6 AWA (4 times), 50/51Q and 48/51V.

You can download my official test-taker score report (all scores within the last 5 years) directly from the Pearson Vue website: https://tinyurl.com/y7knw7bt Date of Birth: 09 December 1979.

GMAT Action Plan and Free E-Book - McElroy Tutoring

Contact: mcelroy@post.harvard.edu (I do not respond to PMs on GMAT Club) or find me on reddit: http://www.reddit.com/r/GMATpreparation
Intern  B
Joined: 11 Nov 2017
Posts: 1
Re: The figure above shows a path around a triangular piece of land. Mary  [#permalink]

Show Tags

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
IIMA, IIMC School Moderator V
Joined: 04 Sep 2016
Posts: 1366
Location: India
WE: Engineering (Other)
Re: The figure above shows a path around a triangular piece of land. Mary  [#permalink]

Show Tags GMATinsight Bunuel niks18 chetan2u
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%

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

DIstance walked by Mary = 8+6 = 14

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

Can experts suggest why we took 10 in denominator and not 14?
_________________
It's the journey that brings us happiness not the destination.

Feeling stressed, you are not alone!!
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1178
Location: India
GPA: 3.82
Re: The figure above shows a path around a triangular piece of land. Mary  [#permalink]

Show Tags

2 GMATinsight Bunuel niks18 chetan2u
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%

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

DIstance walked by Mary = 8+6 = 14

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

Can experts suggest why we took 10 in denominator and not 14?

Read the highlighted part carefully.

% will be (extra distance walked by Mary)/(Distance walked by Ted)

We need a % over distance walked by Ted,
Intern  Joined: 14 Apr 2019
Posts: 6
Re: The figure above shows a path around a triangular piece of land. Mary  [#permalink]

Show Tags

We're told that 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 and Ted walked directly from P to R. We're asked by what PERCENT the distance that Mary walked exceeded the distance that Ted walked. This question is based around Geometry patterns and the Percent Change Formula.
CrackVerbal Representative B
Joined: 13 May 2019
Posts: 69
Re: The figure above shows a path around a triangular piece of land. Mary  [#permalink]

Show Tags

Formula to be used:

Pythagoras theorem: $$Hypotenuse^2$$ = $$Base^2$$ + $$Perpendicular^2$$

Total distance walked by Mary = $$PQ + QR = 8 + 6 = 14 miles$$

Total distance walked by Ted = PR

Applying Pythagoras theorem in the Triangle PQR:

$$PR^2$$ = $$PQ^2$$ + $$QR^2$$

$$PR^2$$ = $$8^2$$ + $$6^2$$ $$= 64 + 36 = 100$$

PR = +10 OR -10

Since PR is a distance and cannot be negative, PR = 10 miles

The difference in the distance walked by Mary and Ted = 14 - 10 = 4 miles

Percent of the distance that Mary walked more than Ted walked = $$\frac{4}{10}$$ * 100 = 40%

The correct answer is B
_________________
Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8109
Location: United States (CA)
Re: The figure above shows a path around a triangular piece of land. Mary  [#permalink]

Show Tags

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.

Attachment:
2015-10-15_0825.png

Since we have a right triangle, we see that we have a 6-8-10 right triangle.

Mary’s distance was 14, and Ted’s distance was 10, so Mary traveled 4 miles more than Ted.

4/10 = 40%

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Manager  G
Joined: 29 Jun 2018
Posts: 53
Location: India
GPA: 4
Re: The figure above shows a path around a triangular piece of land. Mary  [#permalink]

Show Tags

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.

Attachment:
2015-10-15_0825.png

First, the real amount of time that this question should take us. 8 and 6,

that means that this is a 10, and this is a 14. 14 exceeds 10 by 4,

out of the original number which is a 10, that is 40%, that's it! The correct

answer choice is B.
_________________ Re: The figure above shows a path around a triangular piece of land. Mary   [#permalink] 23 Jun 2019, 06:17
Display posts from previous: Sort by

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

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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  