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:

At a certain instant in time, the number of cars, N [#permalink]

Show Tags

02 Dec 2012, 07:02

8

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

15% (low)

Question Stats:

82% (03:22) correct
18% (02:54) wrong based on 858 sessions

HideShow timer Statistics

At a certain instant in time, the number of cars, N, traveling on a portion of a certain highway can be estimated by the formula

\(N=\frac{20Ld}{600+s^2}\)

where L is the number of lanes in the same direction, d is the length of the portion of the highway, in feet, and s is the average speed of the cars, in miles per hour. Based on the formula, what is the estimated number of cars traveling on a 1/2-mile portion of the highway if the highway has 2 lanes in the same direction and the average speed of the cars is 40 miles per hour? (5,280 feet = 1 mile)

At a certain instant in time, the number of cars, N, traveling on a portion of a certain highway can be estimated by the formula

\(N=\frac{20Ld}{600+s^2}\)

where L is the number of lanes in the same direction, d is the length of the portion of the highway, in feet, and s is the average speed of the cars, in miles per hour. Based on the formula, what is the estimated number of cars traveling on a 1/2-mile portion of the highway if the highway has 2 lanes in the same direction and the average speed of the cars is 40 miles per hour? (5,280 feet = 1 mile)

(A) 155 (B) 96 (C) 80 (D) 48 (E) 2

Given: L = 2 lanes; d = 1/2*5,280 feet; s = 40 miles per hour.

How come you wouldn't adjust the speed to 1/2 of 40?

Why should we do that? The average speed of the cars is 40 miles per hour means that the speed is 40 miles per hour for any portion of the highway (1/2-mile, 1-mile, ...).
_________________

Re: At a certain instant in time, the number of cars, N [#permalink]

Show Tags

12 Oct 2013, 08:42

Bunuel wrote:

Walkabout wrote:

At a certain instant in time, the number of cars, N, traveling on a portion of a certain highway can be estimated by the formula

\(N=\frac{20Ld}{600+s^2}\)

where L is the number of lanes in the same direction, d is the length of the portion of the highway, in feet, and s is the average speed of the cars, in miles per hour. Based on the formula, what is the estimated number of cars traveling on a 1/2-mile portion of the highway if the highway has 2 lanes in the same direction and the average speed of the cars is 40 miles per hour? (5,280 feet = 1 mile)

(A) 155 (B) 96 (C) 80 (D) 48 (E) 2

Given: L = 2 lanes; d = 1/2*5,280 feet; s = 40 miles per hour.

Re: At a certain instant in time, the number of cars, N [#permalink]

Show Tags

11 Sep 2014, 02:12

Walkabout wrote:

At a certain instant in time, the number of cars, N, traveling on a portion of a certain highway can be estimated by the formula

\(N=\frac{20Ld}{600+s^2}\)

where L is the number of lanes in the same direction, d is the length of the portion of the highway, in feet, and s is the average speed of the cars, in miles per hour. Based on the formula, what is the estimated number of cars traveling on a 1/2-mile portion of the highway if the highway has 2 lanes in the same direction and the average speed of the cars is 40 miles per hour? (5,280 feet = 1 mile)

(A) 155 (B) 96 (C) 80 (D) 48 (E) 2

its very simple & straight stuff but took lot for time for me to understand it.

Re: At a certain instant in time, the number of cars, N [#permalink]

Show Tags

24 Nov 2014, 10:19

At a certain instant in time, the number of cars, N, traveling on a portion of a certain highway can be estimated by the formula

N=\frac{20Ld}{600+s^2}

where L is the number of lanes in the same direction, d is the length of the portion of the highway, in feet, and s is the average speed of the cars, in miles per hour. Based on the formula, what is the estimated number of cars traveling on a 1/2-mile portion of the highway if the highway has 2 lanes in the same direction and the average speed of the cars is 40 miles per hour? (5,280 feet = 1 mile)

(A) 155 (B) 96 (C) 80 (D) 48 (E) 24

I just ballparked to save time= (20*2*2650)=(600+1600), so (20*2*2650)/(2200), just divided by roughly 2200 to leave something like 20*2 left (but a little more). The only answer option close to 40 is 48. So answer D

What I don't understand about this problem is the following

If speed is in miles/hour and distance is in feet . Then why can't we convert feet into miles or vice versa and then perform the calculation ?

You need to be economical with your choices in terms of both effort and time spent. Ideally, your best bet is to find a way that gives you the best ROI with least amount of time or energy spent.

Try to change minimum number of variables that will give you the correct answer. There is no 1 way for this question. You can approach it from either direction.

I did it by converting distance from miles to feet (thats it!). It was simple to do this conversion as d was 0.5, much simpler than having a d of 0.23 or 0.37 etc.
_________________

Re: At a certain instant in time, the number of cars, N [#permalink]

Show Tags

03 May 2016, 04:31

2

This post received KUDOS

Walkabout wrote:

At a certain instant in time, the number of cars, N, traveling on a portion of a certain highway can be estimated by the formula

\(N=\frac{20Ld}{600+s^2}\)

where L is the number of lanes in the same direction, d is the length of the portion of the highway, in feet, and s is the average speed of the cars, in miles per hour. Based on the formula, what is the estimated number of cars traveling on a 1/2-mile portion of the highway if the highway has 2 lanes in the same direction and the average speed of the cars is 40 miles per hour? (5,280 feet = 1 mile)

(A) 155 (B) 96 (C) 80 (D) 48 (E) 2

Although this problem may seem wordy and confusing, it has much more bark than bite. In the given equation, we have variables L, d, and S, and the entire equation is set equal to N.

We also are told the following:

N = the number of cars in a certain instant in time

L = number of lanes in the same direction

d = length of the portion of the highway, in feet

s = average speed of the cars, in miles per hour

We are given the following values for the variables:

d = ½ mile

L = 2 lanes

s = 40 mph

Before plugging these values into the equation, we must convert ½ mile to feet. Since we know that (5,280 feet = 1 mile), we know that:

½ mile = ½ x 5,280 = 2,640 feet

So now we can plug all this info into the equation to determine the estimated number of cars N.

N = (20Ld)/(600 + s^2)

N = (20 x 2 x 2,640)/(600 + 40^2)

N = (40 x 2,640)/2,200

N = (4 x 264)/22

N = (2 x 264)/11

N = 528/11 = 48

Answer D.

Note: Notice that at the end we kept reducing our equation so that we did not have to work with numbers that were too large; keep things as simple as possible.
_________________

Jeffrey Miller Scott Woodbury-Stewart Founder and CEO

Re: At a certain instant in time, the number of cars, N [#permalink]

Show Tags

13 Jul 2016, 13:25

What i do not understand is: on the highways, cars go in two different directions, that is a common knowledge, so having to estimate number of cars on the highway, not on the part of the highway that goes only in one direction, implies that number of lanes has to be multiplied by 2. I think this is a clear miss in the problem wording, there is no leap of additional knowledge required, it is pretty much as taking for granted that sun rises on the east, yet for some reason problem gives it that highway has only one direction, which completely inconsistent with reality.

At a certain instant in time, the number of cars, N [#permalink]

Show Tags

13 Jul 2016, 15:42

1

This post received KUDOS

v1801philip wrote:

What i do not understand is: on the highways, cars go in two different directions, that is a common knowledge, so having to estimate number of cars on the highway, not on the part of the highway that goes only in one direction, implies that number of lanes has to be multiplied by 2. I think this is a clear miss in the problem wording, there is no leap of additional knowledge required, it is pretty much as taking for granted that sun rises on the east, yet for some reason problem gives it that highway has only one direction, which completely inconsistent with reality.

If you read carefully, it says in the question that L represents the number of lanes going in the same direction. You don't need to multiply the answer by 2, because the formula is for the number of cars traveling on a portion of a certain highway, which is exactly what you are solving for and thus the formula provided should have already accounted for that fact.

If for some reason the formula provided by GMAC were flawed or open-ended, then you still wouldn't be responsible for realizing that fact, so I suggest that you just trust the formula as it is.

"At a certain instant in time, the number of cars, N, traveling on a portion of a certain highway can be estimated by the formula (...) where L is the number of lanes in the same direction, d is the length of the portion of the highway, in feet, and s is the average speed of the cars, in miles per hour. Based on the formula, what is the estimated number of cars traveling on a 1/2-mile portion of the highway if the highway has 2 lanes in the same direction and the average speed of the cars is 40 miles per hour? (5,280 feet = 1 mile)"
_________________

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

Happy New Year everyone! Before I get started on this post, and well, restarted on this blog in general, I wanted to mention something. For the past several months...

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Happy 2017! Here is another update, 7 months later. With this pace I might add only one more post before the end of the GSB! However, I promised that...

The words of John O’Donohue ring in my head every time I reflect on the transformative, euphoric, life-changing, demanding, emotional, and great year that 2016 was! The fourth to...