It is currently 17 Nov 2018, 02:51
My Tests

Close

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
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.

The wait time in minutes, w, for a table at a certain restau

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

CAT Tests
The wait time in minutes, w, for a table at a certain restau [#permalink] New post 30 Jul 2018, 09:36
Expert's post
00:00

Question Stats:

100% (01:00) correct 0% (00:00) wrong based on 4 sessions
The wait time in minutes, w, for a table at a certain restaurant can be estimated by the formula \(w = d^2 + kn\), where d is the number of diners in the party, k is a constant, and n is the number of parties ahead in line at the beginning of the wait. If a party of 4 has an estimated wait time of 40 minutes when 6 other parties are ahead of it, how many minutes would the estimated wait time be for a party of 6 if there are 3 parties ahead of it?

(A) 28
(B) 33
(C) 39
(D) 42
(E) 48
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

CAT Tests
Re: The wait time in minutes, w, for a table at a certain restau [#permalink] New post 12 Aug 2018, 05:38
Expert's post
Explanation

Start by solving for the constant, k. A party of 4 (d = 4) has an estimated wait time of 40 minutes (w = 40) when 6 other parties are ahead of it (n = 6). Plug these values into the formula:

\(w = d^2 + kn\)
\(40 = 4^2 + k(6)\)
\(40 = 16 + 6k\)
\(24 = 6k\)
\(k = 4\)

Then solve for the wait time for a party of 6 (d = 6) if there are 3 parties ahead of it (n = 3), using the constant k = 4 determined above:
\(w = d^2 + kn\)
\(w = 6^2 + 4(3)\)
\(w = 36 + 12\)
\(w = 48\) minutes
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: The wait time in minutes, w, for a table at a certain restau   [#permalink] 12 Aug 2018, 05:38
Display posts from previous: Sort by

The wait time in minutes, w, for a table at a certain restau

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.