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Marla and Evan are reading copies of the same book, at different const

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Marla and Evan are reading copies of the same book, at different const [#permalink]

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New post 27 Apr 2017, 02:45
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (01:28) correct 26% (01:50) wrong based on 75 sessions

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Marla and Evan are reading copies of the same book, at different constant rates. Marla reads 80 pages per hour and started reading at 1:00 p.m. while Evan reads 60 pages per hour and started reading at 12:30 p.m. What time will they be reading the same page?

A. 12:30 p.m.
B. 1:30 p.m.
C. 2:00 p.m.
D. 2:30 p.m.
E. 3:00 p.m.

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Re: Marla and Evan are reading copies of the same book, at different const [#permalink]

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New post 27 Apr 2017, 02:57
By the time Marla joined, Evan had read 30 pages in the half hour extra she had to read.
Starting at 1PM, Marla will read 20pages an hour extra(Relative speed = Marla's speed - Evan's speed)
Hence, it will take 1.5 hours(Pages to read/Relative speed = 30/20) to read the remaining pages.
Time at which they will be reading the same page is 2:30PM(Option D)
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Marla and Evan are reading copies of the same book, at different const [#permalink]

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New post 27 Apr 2017, 19:11
------ @1PM ------ @2PM ------------ @3PM
M------ 0 ------------ 80 ------------ 160
E ------ 30 ----------- 90 ------------ 150

The # of pages are increased by a constant rate, here Evan is ahead of Marla at 2PM and Marla bet Evan at 3PM, so answer should be between 2 & 3, Option D

Considering the # of pages covered by Marla and Evan are 40 and 30 for 30 minutes as the rate is constant

Now @ 2:30 Marla will be at 80+40 = 120th page
and Evan wil be at 90 + 30 = 120th page
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Marla and Evan are reading copies of the same book, at different const   [#permalink] 27 Apr 2017, 19:11
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Marla and Evan are reading copies of the same book, at different const

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