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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote Jake and Ryan worked together on a job for which they were tagged by: AAPL This topic has 3 expert replies and 1 member reply Top Member Jake and Ryan worked together on a job for which they were 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. GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 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 Newbie | Next Rank: 10 Posts Joined 01 Aug 2018 Posted: 9 messages 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

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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 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 GMAT Instructor Joined 25 Apr 2015 Posted: 2791 messages Followed by: 18 members Upvotes: 43 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 • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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