OG 12 PS

This topic has expert replies
Legendary Member
Posts: 2789
Joined: Tue Jul 26, 2011 12:19 am
Location: Chennai, India
Thanked: 206 times
Followed by:43 members
GMAT Score:640

OG 12 PS

by GmatKiss » Sat Oct 08, 2011 11:42 am
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 = (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
Source: — Problem Solving |

User avatar
Master | Next Rank: 500 Posts
Posts: 158
Joined: Sat Sep 03, 2011 10:31 am
Thanked: 29 times
Followed by:2 members

by gmatclubmember » Sat Oct 08, 2011 11:46 am
I get the answer as D (48) after plugging in all values
a lil' Thank note goes a long way :)!!

User avatar
Master | Next Rank: 500 Posts
Posts: 104
Joined: Fri Oct 07, 2011 10:23 pm
Thanked: 36 times
Followed by:4 members

by fcabanski » Sat Oct 08, 2011 3:25 pm
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 = (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)


20LD / 600+s^2 = 20*2*2640 / 600 + 40^2 = 48

Master | Next Rank: 500 Posts
Posts: 197
Joined: Thu Sep 15, 2011 10:22 am
Thanked: 6 times
Followed by:2 members

by parul9 » Sun Oct 09, 2011 12:54 am
The answer would be D - 48.
Directly plugging in the values in the formula would solve it.

User avatar
Senior | Next Rank: 100 Posts
Posts: 35
Joined: Wed Jul 24, 2013 10:15 am
Thanked: 2 times

by ProGMAT » Tue Aug 20, 2013 9:40 am
parul9 wrote:The answer would be D - 48.
Directly plugging in the values in the formula would solve it.
Why speed is not converted into feet/hr from mile/hr (as we are using 2640 feet instead of 1/2 mile)?

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pm
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:511 members
GMAT Score:800

by [email protected] » Tue Aug 20, 2013 4:18 pm
Hi All,

This exact same prompt appears in the OG13 edition as well.

A similar discussion appeared in this thread:

https://www.beatthegmat.com/in-this-why- ... 66640.html

We DON'T convert miles/hour to feet/hour because the question doesn't ask us to.

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image