• NEW! FREE Beat The GMAT Quizzes
    NEW! FREE Beat The GMAT Quizzes
    NEW! FREE Beat The GMAT Quizzes
    Hundreds of Questions Highly Detailed Reporting Expert Explanations TAKE A FREE GMAT QUIZ
  • 7 CATs FREE!
    If you earn 100 Forum Points

    Engage in the Beat The GMAT forums to earn
    100 points for $49 worth of Veritas practice GMATs FREE

    Veritas Prep
    VERITAS PRACTICE GMAT EXAMS
    Earn 10 Points Per Post
    Earn 10 Points Per Thanks
    Earn 10 Points Per Upvote
    REDEEM NOW

Jake and Ryan worked together on a job for which they were

This topic has 3 expert replies and 1 member reply

Jake and Ryan worked together on a job for which they were

Post

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Difficult



Princeton Review

Jake and Ryan worked together on a job for which they were each paid a dollars in advance. If Jake spent 20% more time working on the job than Ryan did, and Ryan gave Jake b dollars, so that their hourly wages were equal, then, in terms of b, how much was Jake paid in advance?

A. 0.8b
B. 1.1b
C. 1.2b
D. 10b
E. 11b

OA E.

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

GMAT Instructor
Joined
09 Oct 2010
Posted:
1449 messages
Followed by:
32 members
Upvotes:
59
Top Reply
Post
AAPL wrote:
Princeton Review

Jake and Ryan worked together on a job for which they were each paid a dollars in advance. If Jake spent 20% more time working on the job than Ryan did, and Ryan gave Jake b dollars, so that their hourly wages were equal, then, in terms of b, how much was Jake paid in advance?

A. 0.8b
B. 1.1b
C. 1.2b
D. 10b
E. 11b
$$\left. \matrix{
{\rm{Ryan}}\,\,\left\{ \matrix{
\,\,5t\,\,\,{\rm{hours}} \hfill \cr
\,\,\$ \,\,\left( {a - b} \right) \hfill \cr} \right.\,\,\,\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,{{a - b} \over {5t}}\,\,\,{\$ \over {{\rm{hour}}}} \hfill \cr
{\rm{Jake}}\,\,\,\,\left\{ \matrix{
\,\,5t + {1 \over 5}\left( {5t} \right) = 6t\,\,\,{\rm{hours}} \hfill \cr
\,\,\$ \,\,\left( {a + b} \right) \hfill \cr} \right.\,\,\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,{{a + b} \over {6t}}\,\,\,{\$ \over {{\rm{hour}}}}\,\,\,\,\,\, \hfill \cr} \right\}\,\,\,\,\,\,\mathop \Rightarrow \limits^{{\rm{stem}}} \,\,\,\,\,\,\,\,{{a - b} \over {5t}} = \,\,\,\,{{a + b} \over {6t}}$$
$$?\,\,:\,\,\,a = f\left( b \right)$$
$${{a - b} \over {5t}} = \,\,\,\,{{a + b} \over {6t}}\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,6\left( {a - b} \right) = 5\left( {a + b} \right)\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,?\,\,\,:\,\,\,a = 11b$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.

_________________
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br

  • +1 Upvote Post
  • Quote
  • Flag
Newbie | Next Rank: 10 Posts Default Avatar
Joined
01 Aug 2018
Posted:
9 messages
Post
Jake Ryan
advance a a
hours worked 1.2x x
after Ryan gave Jake b $ a+b a-b
hourly rate (a+b)/1.2x = (a-b)/x

on solving the equation :
a+b = 1.2(a-b)
.2a = 2.2b
a = 11b

Hence E

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post
AAPL wrote:
Princeton Review

Jake and Ryan worked together on a job for which they were each paid a dollars in advance. If Jake spent 20% more time working on the job than Ryan did, and Ryan gave Jake b dollars, so that their hourly wages were equal, then, in terms of b, how much was Jake paid in advance?

A. 0.8b
B. 1.1b
C. 1.2b
D. 10b
E. 11b
Let the hourly wage = $1 per hour.
Let Ryan's time = 10 hours, implying that Jake's time = 10 + (20% of 10) = 10 + 2 = 12 hours.
Thus:
Total number of work hours = 10+12 = 22 hours.
Total pay = (hourly wage)(total number of work hours) = 1*22 = $22.

Since the total pay = 10+12 = $22, and Jake and Ryan each receive the same amount in advance, the amount Jake and Ryan each receive in advance = 22/2 = $11.

Since Ryan works 10 hours at a rate of $1 per hour, Ryan's take-home pay = (hourly wage)(number of work hours) = 1*10 = $10.
Ryan gave Jake b dollars.
Since Ryan receives $11 in advance but takes home only $10, b=1.

In terms of b, how much was Jake paid in advance?
Since Jake and Ryan each receive $11 in advance, the correct answer must yield a value of 11 when b=1.
Only E works:
11b = 11*1 = 11.

The correct answer is E.

_________________
Mitch Hunt
Private Tutor for the GMAT and GRE
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.
Student Review #1
Student Review #2
Student Review #3

  • +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.
Post
AAPL wrote:
Princeton Review

Jake and Ryan worked together on a job for which they were each paid a dollars in advance. If Jake spent 20% more time working on the job than Ryan did, and Ryan gave Jake b dollars, so that their hourly wages were equal, then, in terms of b, how much was Jake paid in advance?

A. 0.8b
B. 1.1b
C. 1.2b
D. 10b
E. 11b

OA E.
We can assume each was given 110 dollars for the job. Furthermore, we can assume that Ryan worked 10 hours and Jake worked 12 hours. Thus, the hourly wage, which must be equal for both, should be:

(110 + 110)/(10 + 12) = 220/22 = $10

Therefore, we see that Ryan should give Jake $10 so that Ryan would have $100 (notice that 10 x $10 = $100) and Jake would have $120 (notice that 12 x $10 = $120).

We see that a = 110 and b = 10, so a = 11b.

Answer: E

_________________

Scott Woodbury-Stewart
Founder and CEO
scott@targettestprep.com



See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

  • +1 Upvote Post
  • Quote
  • Flag
  • 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
  • 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
  • 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
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • 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
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • 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
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep

Top First Responders*

1 Ian Stewart 57 first replies
2 Brent@GMATPrepNow 31 first replies
3 Jay@ManhattanReview 29 first replies
4 GMATGuruNY 21 first replies
5 ceilidh.erickson 15 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 Scott@TargetTestPrep

Target Test Prep

199 posts
2 image description Max@Math Revolution

Math Revolution

84 posts
3 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

69 posts
4 image description Ian Stewart

GMATiX Teacher

65 posts
5 image description GMATGuruNY

The Princeton Review Teacher

40 posts
See More Top Beat The GMAT Experts