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# Every week, Renee is paid $40 per hour for the first 40 hour  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: Retired Moderator Joined: 07 Jun 2014 Posts: 4803 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 173 Kudos [?]: 2977 [0], given: 394 Every week, Renee is paid$40 per hour for the first 40 hour [#permalink]  25 Aug 2018, 15:28
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Every week, Renee is paid $40 per hour for the first 40 hours she works, and$80 per hour for each hour she works after the first 40 hours. How many hours would Renee have to work in one week to earn an average (arithmetic mean) of $60 per hour that week? (A) 60 (B) 65 (C) 70 (D) 75 (E) 80 [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 Active Member Joined: 07 Jan 2018 Posts: 694 Followers: 11 Kudos [?]: 778 [1] , given: 88 Re: Every week, Renee is paid$40 per hour for the first 40 hour [#permalink]  02 Sep 2018, 21:26
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For the first 40 hrs she earns $40 per hr hence she should work for the first 40 hrs. Her income on that would be$1600
For each hr more she will earn $80. Hence, let the extra hrs she works be x then for that she earns 80x. By question, $$\frac{80x + 1600}{40+x} = 60$$ solve for x; x = 40 Therefore, total hrs she has to work for the week to earn$60 avg would be 80 hrs.
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Re: Every week, Renee is paid $40 per hour for the first 40 hour [#permalink] 15 Oct 2018, 09:04 Renee makes$40*40 hours=$1600 in first 40 hours Let 't' be the no of hours Renee would work. Given, Renee makes$80 per hour for each hour she works after the first 40 hours. So, she makes an additional pay $80*(t-40)hours for every hour after 40 hours. So, 1600+80(t−40)t=601600+80(t−40)t=60 Or, 1600+80t-3200=60t Or, 20t=1600 or, t=80 hours Ans. (E) Manager Joined: 23 Oct 2018 Posts: 57 Followers: 0 Kudos [?]: 0 [0], given: 0 Re: Every week, Renee is paid$40 per hour for the first 40 hour [#permalink]  23 Oct 2018, 09:45
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Re: Every week, Renee is paid $40 per hour for the first 40 hour [#permalink] 10 Jan 2019, 17:54 Hovsep wrote: can the answer be D? How please explain. I think, may be not. Director Joined: 09 Nov 2018 Posts: 505 Followers: 0 Kudos [?]: 56 [0], given: 1 Re: Every week, Renee is paid$40 per hour for the first 40 hour [#permalink]  10 Jan 2019, 17:57
ruposh6240 wrote:
So, 1600+80(t−40)t=601600+80(t−40)t=60

I don't get it.
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Re: Every week, Renee is paid $40 per hour for the first 40 hour [#permalink] 10 Jan 2019, 20:58 This is a select one multiple choice question there can be only 1 ans choice. Ans is D _________________ This is my response to the question and may be incorrect. Feel free to rectify any mistakes Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos Director Joined: 22 Jun 2019 Posts: 517 Followers: 5 Kudos [?]: 106 [0], given: 161 Re: Every week, Renee is paid$40 per hour for the first 40 hour [#permalink]  11 Jul 2019, 03:00
amorphous wrote:
This is a select one multiple choice question there can be only 1 ans choice. Ans is D

The one and only answer here is E certainly.
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Re: Every week, Renee is paid $40 per hour for the first 40 hour [#permalink] 11 Jul 2019, 03:05 ruposh6240 wrote: Edited: Let 't' = number of hours Renee will have to work. Concept: The average rate Renee gets paid is equal to the total wages earned divided by the total number of hours worked. Rene earns$$40$$ per hour for the first $$40$$ hours, so she makes$$40 × 40$$= $$1,600$$ in the first $$40$$ hours. She also earns$$80$$ for every hour after 40 hours, for additional pay of$$80(t – 40)$$. Therefore, her total pay can be calculated as: So,$$\frac{1600+80(t−40)}{t}$$=$$60$$ Or, $$1600+80t-3200$$=$$60t$$ Or, $$20t$$=$$1600$$ or, $$t$$=$$80 hours$$ Ans. (E) _________________ New to the GRE, and GRE CLUB Forum? GRE: All About GRE | Search GRE Specific Questions | Download Vault Posting Rules: QUANTITATIVE | VERBAL Questions' Banks and Collection: ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides 3rd Party Resource's: All In One Resource's | All Quant Questions Collection | All Verbal Questions Collection | Manhattan 5lb All Questions Collection Books: All GRE Best Books Scores: Average GRE Score Required By Universities in the USA Tests: All Free & Paid Practice Tests | GRE Prep Club Tests Extra: Permutations, and Combination Vocab: GRE Vocabulary Facebook GRE Prep Group: Click here to join FB GRE Prep Group Re: Every week, Renee is paid$40 per hour for the first 40 hour   [#permalink] 11 Jul 2019, 03:05
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