BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

The third-place finisher of the Allen County hot dog eating

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members
by BTGmoderatorDC » Thu Oct 10, 2019 7:15 pm
The third-place finisher of the Allen County hot dog eating contest, in which each contestant was given an equal amount of time to eat as many hot dogs as possible, required an average of 15 seconds to consume each hot dog. How many hot dogs did the winner eat?

(1) The winner consumed 24 more hot dogs than did the third-place finisher.

(2) The winner consumed hot dogs at double the rate of the third-place finisher.

OA C

Source: Manhattan Prep
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 amFollowed by: 34 members
Location: Grand Central / New York
Thanked: 470 times

by Jay@ManhattanReview » Fri Oct 11, 2019 4:24 am
BTGmoderatorDC wrote:The third-place finisher of the Allen County hot dog eating contest, in which each contestant was given an equal amount of time to eat as many hot dogs as possible, required an average of 15 seconds to consume each hot dog. How many hot dogs did the winner eat?

(1) The winner consumed 24 more hot dogs than did the third-place finisher.

(2) The winner consumed hot dogs at double the rate of the third-place finisher.

OA C

Source: Manhattan Prep
Say the total time given to each as many hot dogs is x seconds. Thus, the 3rd place finisher each x/15 hot dogs.

Let's take each statement one by one.

(1) The winner consumed 24 more hot dogs than did the third-place finisher.

No. of hot dogs the winner ate = 24 + x/15. Can't get the value. Insufficient.

(2) The winner consumed hot dogs at double the rate of the third-place finisher.

=> No. of hot dogs the winner ate = x/7.5. Can't get the value. Insufficient.

(1) and (2) together

x/7.5 = 24 + x/15

x = 15*24 = 360.

No. of hot dogs the winner ate = x/7.5 = 360/7.5 = 48. Sufficient

The correct answer: C

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: GMAT Classes Philadelphia | GMAT Tutoring San Diego | GRE Prep Austin | TOEFL Prep Classes Portland | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

edited:

by deloitte247 » Sat Oct 12, 2019 7:14 am
Each contestant has equal amount of time to eat as many hot dogs as possible.
It requires an average of 15 seconds to consume 1 hotdog. So, how many hotdogs did the winner eat?
Statement 1: The winnner consumed 24 more hot dogs than the third-phase finisher.
Let hotm dogs consumed by the third-phase finisher = x
Therefore, third-phase finisher = x
Winner = x + 24
Since the value of x is unknown, statement 1 is NOT SUFFICIENT.

Statement 2: The winner consumed hot dogs at double rate of the third-place finisher.
So, let the rate of third-phase finisher = x
Winner = 2x
Since the value of x is unknown, statement 2 is also NOT SUFFICIENT.

Combining both statements together:
Statement 1: Winner = x + 24
Statement 2: Winner = 2x
Substituting the value of winner in statement 1 for the winner in statement 2;
We have,
Winner = x + 24
2x = x + 24
x = 24
Since the winner consumed 24 more hot dogs than the third-place finisher, winner = 24 + 24 = 48
Both statements combined together are SUFFICIENT.

Answer = option C
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1