Pic

Multipurpose Modals

Pillar includes simple and intuitive markup making it easier than ever to create autoshow, trigger and cookies enabled modals.
Cool, I got it!
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep

A machine at the golf ball

This topic has 3 expert replies and 0 member replies
Post new topic Post reply
Add To My Collection
Pic

Previous Topic Next Topic
BTGmoderatorDC Moderator Default Avatar
Joined
07 Sep 2017
Posted:
710 messages
Followed by:
4 members

A machine at the golf ball

Post Wed Nov 08, 2017 4:58 am
A machine at the golf ball factory can produce 16 golf balls in 5 minutes. If several of these machines work independently and each machine performs at the same rate, how many machines are needed to produce 32 golf balls per minute?

A) 3
B) 6
C) 8
D) 10
E) 13

How will i start the solution to this?

OA D

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

GMATGuruNY GMAT Instructor
Joined
25 May 2010
Posted:
14159 messages
Followed by:
1818 members
Upvotes:
13060
GMAT Score:
790
Most Active Expert Most Responsive Expert
Post Wed Nov 08, 2017 5:28 am
lheiannie07 wrote:
A machine at the golf ball factory can produce 16 golf balls in 5 minutes. If several of these machines work independently and each machine performs at the same rate, how many machines are needed to produce 32 golf balls per minute?

A) 3
B) 6
C) 8
D) 10
E) 13
Use the following equation:

(machines)(time) / output = (machines)(time) / output

In the equation above:
Machines and time are INVERSELY PROPORTIONAL.
As the number of machines increases, the amount of time required to produce the same output decreases.
Machines and output are DIRECTLY PROPORTIONAL.
As the number of machines increases, the amount of output also increases.
Time and output are also DIRECTLY PROPORTIONAL.
As the amount of time increases, the amount of output also increases.

In the problem above:
1 machine takes 5 minutes to produce 16 golf balls, and we are asked how many machines are needed to produce in 1 minute 32 golf balls.
Thus, we get the following equation:
(1 machine)(5 minutes)/(16 golf balls) = (x machines)(1 minute)/(32 golf balls)
5/16 = x/32
x = (5)(32/16) = 5*2 = 10.

The correct answer is D.

_________________
Mitch Hunt
GMAT Private Tutor
GMATGuruNY@gmail.com
If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon.
Available for tutoring in NYC and long-distance.
For more information, please email me at GMATGuruNY@gmail.com.

  • +1 Upvote Post
  • Quote
  • Flag
Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.

GMAT/MBA Expert

EconomistGMATTutor GMAT Instructor
Joined
04 Oct 2017
Posted:
551 messages
Followed by:
10 members
Upvotes:
180
Post Wed Nov 08, 2017 11:58 am
Quote:
A machine at the golf ball factory can produce 16 golf balls in 5 minutes. If several of these machines work independently and each machine performs at the same rate, how many machines are needed to produce 32 golf balls per minute?

A) 3
B) 6
C) 8
D) 10
E) 13
Hi lheiannie07,
Let's take a look at your question.

The machine produces 16 golf balls in 5 minutes.
1 golf ball can be produced in (5/16) minutes.

32 golf balls can be produced in:
$$=\ \frac{5}{16}\times32$$
$$=\ 5\times2\ =\ 10\ $$

Therefore, one machine will produce 32 golf balls in 10 minutes.

But the question asks that if several of these machines work independently and each machine performs at the same rate, how many machines are needed to produce 32 golf balls per minute?
So if one machine is producing 32 golf balls in 10 minutes.
Then 10 machines will be needed to produce 32 golf balls per minute.
Therefore, Option D is correct.

Hope it makes sense.
I am available if you'd like any follow up.

_________________
GMAT Prep From The Economist
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.

  • +1 Upvote Post
  • Quote
  • Flag
Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now.

GMAT/MBA Expert

Matt@VeritasPrep GMAT Instructor
Joined
12 Sep 2012
Posted:
2637 messages
Followed by:
114 members
Upvotes:
625
Target GMAT Score:
V51
GMAT Score:
780
Post Thu Nov 09, 2017 7:15 pm
I'd fall back on the trusty equation Work = Rate * Time.

Here, we know that each machine follows the equation

Work = Rate * Time
16 = Rate * 5

(since work = 16 golf balls and time = 5 minutes)

Dividing both sides by 5, we get Rate = 16/5, so each machine works at a rate of 16/5 of a golf ball per minute.

From here, our equation becomes

32 = (# of machines) * 16/5 * 1

(since work = 32 golf balls, each machine's rate = 16/5, and the time = 1 minute)

That's a cinch to solve, and we're done! The # of machines = 10.

  • +1 Upvote Post
  • Quote
  • Flag
Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!

Top First Responders*
1 GMATGuruNY 68 first replies
2 Rich.C@EMPOWERgma... 48 first replies
3 Brent@GMATPrepNow 37 first replies
4 Jay@ManhattanReview 26 first replies
5 ErikaPrepScholar 9 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts
1 image description GMATGuruNY

The Princeton Review Teacher

 128 posts
2 image description Rich.C@EMPOWERgma...

EMPOWERgmat

 117 posts
3 image description Jeff@TargetTestPrep

Target Test Prep

 106 posts
4 image description Max@Math Revolution

Math Revolution

 94 posts
5 image description Scott@TargetTestPrep

Target Test Prep

 92 posts
See More Top Beat The GMAT Experts