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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

James and Henry are at the northwest corner of their busines [#permalink]
13 Nov 2012, 03:22

1

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

50% (03:16) correct
50% (02:46) wrong based on 88 sessions

James and Henry are at the northwest corner of their business school’s football field, which is a rectangle 300 ft long and 160 ft wide. James walks in a straight line directly to the southeast corner of the field. If Henry walks 180 ft down the west side of the field and then walks in a straight line directly to the southeast corner of the field, how many feet farther, to the nearest 10 ft, will Henry walk than James?

Re: James and Henry are at the northwest corner of their busines [#permalink]
13 Nov 2012, 03:52

2

This post received KUDOS

Expert's post

gmatbull wrote:

James and Henry are at the northwest corner of their business school’s football field, which is a rectangle 300 ft long and 160 ft wide. James walks in a straight line directly to the southeast corner of the field. If Henry walks 180 ft down the west side of the field and then walks in a straight line directly to the southeast corner of the field, how many feet farther, to the nearest 10 ft, will Henry walk than James?

A. 20 B. 40 C. 80 D. 120 E. 140

Look at the diagram below:

Attachment:

Football field.png [ 5.69 KiB | Viewed 2038 times ]

The distance covered by James (AD) is shown in blue and it equals to \(\sqrt{300^2+160^2}=\sqrt{10^2(30^2+16^2)}=10*\sqrt{1156}=340\);

The distance covered by Henry (AB+BD) is shown in red and it equals to \(180+\sqrt{120^2+160^2}=180+\sqrt{10^2(12^2+16)^2}=180+10\sqrt{400}=380\);

Re: James and Henry are at the northwest corner of their busines [#permalink]
13 Nov 2012, 23:52

1

This post received KUDOS

Thanks Bunuel for your lucid explanations as usual. I misinterpreted the text below: "If Henry walks 180 ft down the west side of the field " to mean "Henry walks 180 ft westwards"; Sure, that was a misleading interpretation.

Actually, Henry walked DOWNWARD, but on the western wing of the field. _________________

KUDOS me if you feel my contribution has helped you.

Re: James and Henry are at the northwest corner of their busines [#permalink]
17 Nov 2012, 12:04

1

This post received KUDOS

How do we decide the rectangle layout to be? I took 300 to be the length from northeast to east whereas in the explanation it takes 160 for the same length.

Re: James and Henry are at the northwest corner of their busines [#permalink]
17 Nov 2012, 23:22

1

This post received KUDOS

rashmilagisetty wrote:

How do we decide the rectangle layout to be? I took 300 to be the length from northeast to east whereas in the explanation it takes 160 for the same length.

Which ever orientation u prefer doesn't change the fact that it remains a rectangle as shown in the attached. However, note that If Henry walks 180 ft down the west side of the field, the vertical side must be the side with 300 ft.

Attachments

james n Henry.jpg [ 8.93 KiB | Viewed 1842 times ]

_________________

KUDOS me if you feel my contribution has helped you.

Re: James and Henry are at the northwest corner of their busines [#permalink]
30 Nov 2013, 10:14

So what does this sentence mean please?

James and Henry are at the northwest corner of their business school’s football field, which is a rectangle 300 ft long and 160 ft wide. James walks in a straight line directly to the southeast corner of the field. If Henry walks 180 ft down the west side of the field and then walks in a straight line directly to the southeast corner of the field, how many feet farther, to the nearest 10 ft, will Henry walk than James?

A. 20 B. 40 C. 80 D. 120 E. 140

This is the only sentence that put me off that I didnt understand.

Re: James and Henry are at the northwest corner of their busines [#permalink]
05 Dec 2013, 07:00

1

This post received KUDOS

Expert's post

Infinitive wrote:

So what does this sentence mean please?

James and Henry are at the northwest corner of their business school’s football field, which is a rectangle 300 ft long and 160 ft wide. James walks in a straight line directly to the southeast corner of the field. If Henry walks 180 ft down the west side of the field and then walks in a straight line directly to the southeast corner of the field, how many feet farther, to the nearest 10 ft, will Henry walk than James?

A. 20 B. 40 C. 80 D. 120 E. 140

This is the only sentence that put me off that I didnt understand.

I guess the question intends us to do some approximations to get the correct answer but as you can see we can get the exact answer quite easily, thus approximation is not necessary. _________________

Re: James and Henry are at the northwest corner of their busines [#permalink]
05 Dec 2013, 20:40

Bunuel wrote:

gmatbull wrote:

James and Henry are at the northwest corner of their business school’s football field, which is a rectangle 300 ft long and 160 ft wide. James walks in a straight line directly to the southeast corner of the field. If Henry walks 180 ft down the west side of the field and then walks in a straight line directly to the southeast corner of the field, how many feet farther, to the nearest 10 ft, will Henry walk than James?

A. 20 B. 40 C. 80 D. 120 E. 140

Look at the diagram below:

Attachment:

Football field.png

The distance covered by James (AD) is shown in blue and it equals to \(\sqrt{300^2+160^2}=\sqrt{10^2(30^2+16^2)}=10*\sqrt{1156}=340\);

The distance covered by Henry (AB+BD) is shown in red and it equals to \(180+\sqrt{120^2+160^2}=180+\sqrt{10^2(12^2+16)^2}=180+10\sqrt{400}=380\);

The difference is 380-340=40.

Answer: B.

Is there an alternative (and quicker) way to get the solution without doing the calculations, e.g. through ballparking and eliminating answer options?

Re: James and Henry are at the northwest corner of their busines [#permalink]
05 Dec 2013, 20:59

1

This post received KUDOS

Expert's post

np1986 wrote:

Bunuel wrote:

gmatbull wrote:

James and Henry are at the northwest corner of their business school’s football field, which is a rectangle 300 ft long and 160 ft wide. James walks in a straight line directly to the southeast corner of the field. If Henry walks 180 ft down the west side of the field and then walks in a straight line directly to the southeast corner of the field, how many feet farther, to the nearest 10 ft, will Henry walk than James?

A. 20 B. 40 C. 80 D. 120 E. 140

Look at the diagram below:

Attachment:

Football field.png

The distance covered by James (AD) is shown in blue and it equals to \(\sqrt{300^2+160^2}=\sqrt{10^2(30^2+16^2)}=10*\sqrt{1156}=340\);

The distance covered by Henry (AB+BD) is shown in red and it equals to \(180+\sqrt{120^2+160^2}=180+\sqrt{10^2(12^2+16)^2}=180+10\sqrt{400}=380\);

The difference is 380-340=40.

Answer: B.

Is there an alternative (and quicker) way to get the solution without doing the calculations, e.g. through ballparking and eliminating answer options?

Actually, the method shown by Bunuel is quite straight forward and you don't need to do any calculations if you just remember some of your pythagorean triplets (and that's why we suggest you to remember them!)

BC = 120, CD = 160 BC:CD = 3:4 Does it remind you of 3-4-5 triplet? 120 is 3*40 and 160 is 4*40 so BD will be 5*40 = 200 So Henry traveled 180 + 200 = 380

AB = 160, BD = 300 So AB:BD = 8:15 Remember 8-15-17? (the third triplet after 3-4-5 and 5-12-13) Hence AD should be 17*20 = 340 James traveled 340

Difference = 40

I have seen the following triplets coming in handy: ( 3, 4, 5 ) ( 5, 12, 13) ( 8, 15, 17) ( 7, 24, 25) (20, 21, 29) and ( 9, 40, 41) _________________

Re: James and Henry are at the northwest corner of their busines [#permalink]
05 Dec 2013, 22:54

Expert's post

rashmilagisetty wrote:

How do we decide the rectangle layout to be? I took 300 to be the length from northeast to east whereas in the explanation it takes 160 for the same length.

That is a valid concern. Note that there are two definitions of length: 1. Length is the longest side of the rectangle. 2. Width is from side to side and length is whatever isn't width (i.e. the side from up to down in a rectangle) (this definition is less embraced than the first one)

If the side from up to down is the longest side, then there is no conflict. Keeping this in mind, when drawing the figure, given that length is the longer of the two, I would make the diagram as shown by Bunuel and there will be no conflict. _________________

Re: James and Henry are at the northwest corner of their busines [#permalink]
09 Dec 2013, 19:04

VeritasPrepKarishma wrote:

np1986 wrote:

Is there an alternative (and quicker) way to get the solution without doing the calculations, e.g. through ballparking and eliminating answer options?

Actually, the method shown by Bunuel is quite straight forward and you don't need to do any calculations if you just remember some of your pythagorean triplets (and that's why we suggest you to remember them!)

BC = 120, CD = 160 BC:CD = 3:4 Does it remind you of 3-4-5 triplet? 120 is 3*40 and 160 is 4*40 so BD will be 5*40 = 200 So Henry traveled 180 + 200 = 380

AB = 160, BD = 300 So AB:BD = 8:15 Remember 8-15-17? (the third triplet after 3-4-5 and 5-12-13) Hence AD should be 17*20 = 340 James traveled 340

Difference = 40

I have seen the following triplets coming in handy: ( 3, 4, 5 ) ( 5, 12, 13) ( 8, 15, 17) ( 7, 24, 25) (20, 21, 29) and ( 9, 40, 41)

Thanks! This is quite helpful and should make the calculations much easier.

gmatclubot

Re: James and Henry are at the northwest corner of their busines
[#permalink]
09 Dec 2013, 19:04

Low GPA MBA Acceptance Rate Analysis Many applicants worry about applying to business school if they have a low GPA. I analyzed the low GPA MBA acceptance rate at...

UNC MBA Acceptance Rate Analysis Kenan-Flagler is University of North Carolina’s business school. UNC has five programs including a full-time MBA, various executive MBAs and an online MBA...

To hop from speaker to speaker, to debate, to drink, to dinner, to a show in one night would not be possible in most places, according to MBA blogger...

Most top business schools breed their students for a career in consulting or financial services (which is slowly being displaced by high tech and entrepreneurial opportunities). Entry into...