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In order to complete a reading assignment on time, Terry pla

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In order to complete a reading assignment on time, Terry pla [#permalink] New post 25 Jun 2020, 10:53
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In order to complete a reading assignment on time, Terry planned to read 90 pages per day. However, she read only 75 pages per day at first, leaving 690 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time?

(A) 15
(B) 16
(C) 25
(D) 40
(E) 46
[Reveal] Spoiler: OA

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Re: In order to complete a reading assignment on time, Terry pla [#permalink] New post 25 Jun 2020, 10:53
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Re: In order to complete a reading assignment on time, Terry pla [#permalink] New post 25 Jun 2020, 19:27
Completely confused with the wording of the problem.
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Re: In order to complete a reading assignment on time, Terry pla [#permalink] New post 25 Jun 2020, 22:39
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esaktasynov wrote:
Completely confused with the wording of the problem.


Initially Terry was planning to read 90 pages/ day. But, she only reads 75 pages / day for few days and in the final 6 days, she needs to read 690 pages.
Thus, if we give her 16 days,
90*16 = 1440 pages and 690 + 75(16-6) = 690 + 750 = 1440.
Thus, option B.
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Re: In order to complete a reading assignment on time, Terry pla [#permalink] New post 26 Jun 2020, 05:21
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Carcass wrote:
In order to complete a reading assignment on time, Terry planned to read 90 pages per day. However, she read only 75 pages per day at first, leaving 690 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time?

(A) 15
(B) 16
(C) 25
(D) 40
(E) 46


Let's start with a word equation

We can write: (total number of pages to be read at INTENDED rate of 90 pages/day) = (total number of pages ACTUALLY read at 75 pages/day) + 690 more pages

Let x = number of days to complete reading assignment at 90 pages per day
So, x - 6 = number of days reading at 75 pages per day (since Terry spent the last 6 days reading 690 pages)

At a rate of 90 pages/day, 90x = number of pages that COULD be read in x days
At a rate of 75 pages/day, 75(x - 6) = number of pages ACTUALLY read in x-6 days

We get: 90x = 75(x - 6) + 690
Expand to get: 90x = 75x - 450 + 690
Simplify to get: 90x = 75x + 240
We get: 15x = 240
Solve: x = 240/15 = 16

Answer: B

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Re: In order to complete a reading assignment on time, Terry pla [#permalink] New post 26 Jun 2020, 08:53
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with x = number of days

with her initial plan, we conclude the book number of pages is 90x
with the revised plan, the book number of pages is 75(x-6) + 690

90x = 75(x-6) + 690

90x = 75 - 450 + 690

x = 16

Answer B
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Re: In order to complete a reading assignment on time, Terry pla   [#permalink] 26 Jun 2020, 08:53
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