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Marcie started working a part-time job at the beginning of the summer

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Marcie started working a part-time job at the beginning of the summer  [#permalink]

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New post Updated on: 22 Oct 2019, 23:18
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EMPOWERgmat PS Series:
Pack 3, Question 5

Marcie started working a part-time job at the beginning of the summer. After four weeks, she increased the number of hours she worked each week by 1/5. After another four weeks, she decreased the number of hours she worked each week by 1/3. From then on, she worked 20 hours weekly. How many hours was she working each week when she began working at the beginning of the summer?

(A) 5
(B) 10
(C) 16
(D) 25
(E) 30



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Originally posted by EMPOWERgmatRichC on 18 Oct 2019, 18:12.
Last edited by EMPOWERgmatRichC on 22 Oct 2019, 23:18, edited 1 time in total.
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Re: Marcie started working a part-time job at the beginning of the summer  [#permalink]

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New post 19 Oct 2019, 01:16
EMPOWERgmatRichC wrote:

Marcie started working a part-time job at the beginning of the summer. After four weeks, she increased the number of hours she worked each week by 1/5. After another four weeks, she decreased the number of hours she worked each week by 1/3. From then on, she worked 20 hours weekly. How many hours was she working each week when she began working at the beginning of the summer?

(A) 5
(B) 10
(C) 16
(D) 25
(E) 30


Let us solve back wards..
Quote:
she decreased the number of hours she worked each week by 1/3. From then on, she worked 20 hours weekly

Let initial time be t...So, \(20=t-\frac{t}{3}=\frac{2t}{3}....t=20*\frac{3}{2}=30\)

Quote:
she increased the number of hours she worked each week by 1/5.

Let the start time be s...So, \(30=s+\frac{s}{5}=\frac{6s}{5}....s=30*\frac{5}{6}=25\)

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Re: Marcie started working a part-time job at the beginning of the summer  [#permalink]

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New post 19 Oct 2019, 17:14
let initial working each week is x hrs
initial increase in hrs ;x/5 ; new time ; 6x/5
the tricky word line she decreased the number of hours she worked each week by 1/3
i.e x-x/3 ; 2x/3
2x/3 = 20
x=30 hrs
6/5*x=30
x= 25 hrs
IMO D



EMPOWERgmatRichC wrote:
EMPOWERgmat PS Series:
Pack 3, Question 5

Marcie started working a part-time job at the beginning of the summer. After four weeks, she increased the number of hours she worked each week by 1/5. After another four weeks, she decreased the number of hours she worked each week by 1/3. From then on, she worked 20 hours weekly. How many hours was she working each week when she began working at the beginning of the summer?

(A) 5
(B) 10
(C) 16
(D) 25
(E) 30



48 Hour Window To Win An $85 EMPOWERgmat Tuition Credit (1 Month Free!)
Share your explanation! The GMAT Club member with the most verified Kudos in total on the 10 question PS & DS Block 3 question packs will win an $85 EMPOWERgmat tuition credit, which will entitle the winner to a full month of complete access to the EMPOWERgmat system. Even if you're not sure about your answer or your rationale, share your explanation to help boost your learning and earn a chance to win. We have increased the contest window to 2 weeks from the posted date of the question - so that you can maximize your chances and answer all of the questions in each set!

To be eligible, your explanation must be submitted within the 2 week window after this post was created and should explain your reasoning why the answer you chose is correct

The OA will be held until a 1 week window has lapsed.

Links to the entire list of Quant and Verbal questions can be found here: EMPOWERgmat Forum Contest!...
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Re: Marcie started working a part-time job at the beginning of the summer   [#permalink] 19 Oct 2019, 17:14
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Marcie started working a part-time job at the beginning of the summer

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