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:

The figure above shows the dimensions of a semicircular [#permalink]

Show Tags

08 Jan 2008, 06:10

3

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

48% (02:51) correct
52% (01:39) wrong based on 106 sessions

HideShow timer Statistics

The figure attached shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit on the height of vehicles that are allowed to use the tunnel?

Are they asking for the height of the tunnel at the EDGE of the 12 foot lane? or the height of the tunnel in the center? It's kind of vague, but I would assume they want the height of the tunnel at it's highest point (even though this isn't entirely practical, but perhaps that's where the 1/2 foot of tolerance comes in).

10 feet because the radius is 10 feet then subtract 1/2 foot of clearance 10-1/2 = 9.5 feet Answer D

Are they asking for the height of the tunnel at the EDGE of the 12 foot lane? or the height of the tunnel in the center? It's kind of vague, but I would assume they want the height of the tunnel at it's highest point (even though this isn't entirely practical, but perhaps that's where the 1/2 foot of tolerance comes in).

10 feet because the radius is 10 feet then subtract 1/2 foot of clearance 10-1/2 = 9.5 feet Answer D

I think it is better to find height at the 12 foot lane, because shape of car not triangle, rather it is rectangle... so I would have picked A, since height will be 6 and 6-1/2=5.5

That does make more sense (since automobiles aren't 2D ).

In that case:

Answer B

Create a right triangle using the radius of 10 as a hypotenuse. The legs of the triangle will be 6 (1/2 of the travel lane) and X (the height at the edge of the road). 3-4-5 right triangle gives us a height of 8' at the side of the road. 8-.5 = 7.5' max

That does make more sense (since automobiles aren't 2D ).

In that case:

Answer B

Create a right triangle using the radius of 10 as a hypotenuse. The legs of the triangle will be 6 (1/2 of the travel lane) and X (the height at the edge of the road). 3-4-5 right triangle gives us a height of 8' at the side of the road. 8-.5 = 7.5' max

great, I agree with you) tellingly I never hit the right answer I am always close to it but it doesn't make me happy because real GMAT exam makes sever punishments for wrong answers whether it is close to right answer or not. what would you suggest me to do in order to decrease errors and increase precision? not to rush?

That does make more sense (since automobiles aren't 2D ).

In that case:

Answer B

Create a right triangle using the radius of 10 as a hypotenuse. The legs of the triangle will be 6 (1/2 of the travel lane) and X (the height at the edge of the road). 3-4-5 right triangle gives us a height of 8' at the side of the road. 8-.5 = 7.5' max

great, I agree with you) tellingly I never hit the right answer I am always close to it but it doesn't make me happy because real GMAT exam makes sever punishments for wrong answers whether it is close to right answer or not. what would you suggest me to do in order to decrease errors and increase precision? [b]not to rush[b/]?

that's it in a nutshell. Slow down, double check your work and draw out a diagram when doing geometry problems. I find I do much better on the Club Challenges when I slow down a bit. After awhile you'll know all the math you need, it's just eliminating stupid mistakes.

That does make more sense (since automobiles aren't 2D ).

In that case:

Answer B

Create a right triangle using the radius of 10 as a hypotenuse. The legs of the triangle will be 6 (1/2 of the travel lane) and X (the height at the edge of the road). 3-4-5 right triangle gives us a height of 8' at the side of the road. 8-.5 = 7.5' max

That does make more sense (since automobiles aren't 2D ).

In that case:

Answer B

Create a right triangle using the radius of 10 as a hypotenuse. The legs of the triangle will be 6 (1/2 of the travel lane) and X (the height at the edge of the road). 3-4-5 right triangle gives us a height of 8' at the side of the road. 8-.5 = 7.5' max

correct! ...7.5' for me too..

OA is B.

This kind of questions are easy to solve reading the text well because the are written in a tricky way! I answered D too...

Re: The figure above shows the dimensions of a semicircular [#permalink]

Show Tags

30 Nov 2013, 13:50

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Re: The figure above shows the dimensions of a semicircular [#permalink]

Show Tags

01 Dec 2013, 07:06

1

This post received KUDOS

Expert's post

marcodonzelli wrote:

The figure attached shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit on the height of vehicles that are allowed to use the tunnel?

A. 5½ ft B. 7½ ft C. 8 ½ ft D. 9½ ft E. 10 ft

See the diagram attached:

Rectangle inscribed has the length of traffic lane 12. So max height of vehicle will be 1/2 foot less than the width of this rectangle.

Now, let O be the center of the semi-circle, then OA=radius=20/2=10 and OB=12/2=6 --> \(AB=\sqrt{OA^2-OB^2}=\sqrt{10^2-6^2}=8\).

So max height of the vehicle that are allowed to use the tunnel is 8-0.5=7.5.

Part 2 of the GMAT: How I tackled the GMAT and improved a disappointing score Apologies for the month gap. I went on vacation and had to finish up a...

Cal Newport is a computer science professor at GeorgeTown University, author, blogger and is obsessed with productivity. He writes on this topic in his popular Study Hacks blog. I was...

So the last couple of weeks have seen a flurry of discussion in our MBA class Whatsapp group around Brexit, the referendum and currency exchange. Most of us believed...