12 Days of Christmas GMAT Competition - Day 10: At a publishing : Two-part Analysis (TPA)

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Oppenheimer1945

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27 Dec 2024, 09:30

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by 1.30pm,
A=4.5*12=54
B=3.5*16=56
C=2.5*18=45
D=1.5*10=15
Total reviwed =x=170

by 6pm:
A=9*12=108
B=8*16=128
C=7*18=126
D=6*10=60
E=4.5*20=90
y=512

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27 Dec 2024, 09:42

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For x (total pages by 1:30 p.m.):
A: 4.5 hrs * 12 = 54
B: 3.5 hrs * 16 = 56
C: 2.5 hrs * 18 = 45
D: 1.5 hrs * 10 = 15
E: 0 hrs * 20 = 0
x = 170 pages

For y (total by 6:00 p.m.):
A: 9 hrs * 12 = 108
B: 8 hrs * 16 = 128
C: 7 hrs * 18 = 126
D: 6 hrs * 10 = 60
E: 4.5 hrs * 20 = 90
y = 512 pages

Answer: (170, 512)

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27 Dec 2024, 09:55

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start time	total hours worked	Total pages
9	4.5	54
10	3.5	56
11	2.5	45
12	1.5	15
1	0	0

So we can see till 1:30 PM 170 pages done.

For till 6:00 PM acc to me no calculation is needed, total working time is more than double in each case, additionally we will have more added to the total by the person who started at 1:00 PM.

So answer should be much more than 340, hence ans is 512

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27 Dec 2024, 09:57

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Bunuel

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At a publishing company, five editors—A through E—review manuscripts at different but constant speeds, starting at different times and continuing until 6:00 p.m. on the same day:

Editor A: Started at 9:00 a.m., reviewing 12 pages per hour.
Editor B: Started at 10:00 a.m., reviewing 16 pages per hour.
Editor C: Started at 11:00 a.m., reviewing 18 pages per hour.
Editor D: Started at 12:00 p.m., reviewing 10 pages per hour.
Editor E: Started at 1:30 p.m., reviewing 20 pages per hour.

Select for x the total number of pages reviewed by 1:30 p.m., and for y the total number of pages reviewed by 6:00 p.m. Make only two selections, one in each column.

Calculating pages reviewed by 1:30 pm (x):
A: From 9:00 am to 1:30 pm is 4.5 hours. 4.5 * 12 = 54 page
B: From 10:00 am to 1:30 pm is 3.5 hours. 3.5 * 16 = 56 pages
C: From 11:00 am to 1:30 pm is 2.5 hours. 2.5 * 18 = 45 pages
D: From 12:00 pm to 1:30 pm is 1.5 hours. 1.5 * 10 = 15 pages
E: Started at 1:30 pm, so 0 pages.
Total: 54 + 56 + 45 + 15 + 0 = 170 pages.
Calculating pages reviewed by 6:00 pm (y):
A: From 9:00 am to 6:00 pm is 9 hours. 9 * 12 = 108 page
B: From 10:00 am to 6:00 pm is 8 hours. 8 * 16 = 128 pages
C: From 11:00 am to 6:00 pm is 7 hours. 7 * 18 = 126 pages
D: From 12:00 pm to 6:00 pm is 6 hours. 6 * 10 = 60 pages
E: From 1:30 pm to 6:00 pm is 4.5 hours. 4.5 * 20 = 90 pages
Total: 108 + 128 + 126 + 60 + 90 = 512 pages.
Answer: x = 170, y = 512

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27 Dec 2024, 09:57

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At a publishing company, five editors—A through E—review manuscripts at different but constant speeds, starting at different times and continuing until 6:00 p.m. on the same day:

Editor A: Started at 9:00 a.m., reviewing 12 pages per hour.
Editor B: Started at 10:00 a.m., reviewing 16 pages per hour.
Editor C: Started at 11:00 a.m., reviewing 18 pages per hour.
Editor D: Started at 12:00 p.m., reviewing 10 pages per hour.
Editor E: Started at 1:30 p.m., reviewing 20 pages per hour.

Select for x the total number of pages reviewed by 1:30 p.m., and for y the total number of pages reviewed by 6:00 p.m. Make only two selections, one in each column.

	10 a.m.	11 a.m.	12:00 p.m.	1:30 p.m.	6:00 p.m.
Editor A	12	24	36	54	108
Editor B	0	16	32	56	128
Editor C	0	0	18	45	126
Editor D	0	0	0	15	60
Editor E	0	0	0	0	90
Total	12	40	86	170	512

x	y
170	512

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27 Dec 2024, 10:12

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Let's solve this problem step by step:

1. First, let's calculate the pages reviewed by each editor by 1:30 p.m. (x):

* Editor A: 4.5 hours × 12 pages/hour = 54 pages

* Editor B: 3.5 hours × 16 pages/hour = 56 pages

* Editor C: 2.5 hours × 18 pages/hour = 45 pages

* Editor D: 1.5 hours × 10 pages/hour = 15 pages

* Editor E: Just started, 0 pages

Total pages by 1:30 p.m. (x) = 54 + 56 + 45 + 15 = 170 pages

2. Now, let's calculate the total pages reviewed by 6:00 p.m. V):

* Editor A: 9 hours × 12 pages/hour = 108 pages

* Editor B: 8 hours × 16 pages/hour = 128 pages

* Editor C: 7 hours x 18 pages/hour = 126 pages

* Editor D: 6 hours × 10 pages/hour = 60 pages

* Editor E: 4.5 hours * 20 pages/hour = 90 pages

Total pages by 6:00 p.m. (y) = 108 + 128 + 126 + 60 + 90 = 512 pages

Therefore, the correct selections are:

x=170 pages (by 1:30 p.m.)

y= 512 pages (by 6:00 p.m.)

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27 Dec 2024, 10:20

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Bunuel

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At a publishing company, five editors—A through E—review manuscripts at different but constant speeds, starting at different times and continuing until 6:00 p.m. on the same day:

Editor A: Started at 9:00 a.m., reviewing 12 pages per hour.
Editor B: Started at 10:00 a.m., reviewing 16 pages per hour.
Editor C: Started at 11:00 a.m., reviewing 18 pages per hour.
Editor D: Started at 12:00 p.m., reviewing 10 pages per hour.
Editor E: Started at 1:30 p.m., reviewing 20 pages per hour.

Select for x the total number of pages reviewed by 1:30 p.m., and for y the total number of pages reviewed by 6:00 p.m. Make only two selections, one in each column.

Till 1:30pm

A: 1:30 - 9 = 4.5 hrs => 4.5 * 12 = 54
B: 1:30 - 10 = 3.5 hrs => 3.5 * 16 = 56
C: 1:30 - 11 = 2.5 hrs => 2.5 * 18 = 45
D: 1:30 - 12 = 1.5 hrs => 1.5 * 10 = 15
E: 1:30 - 1:30 = 0 hrs => 0 * 20 = 0

x = 170

Till 6:00pm

A: 6 - 9 = 9 hrs => 9 * 12 = 108
B: 6 - 10 = 8hrs => 8 * 16 = 128
C: 6 - 11 = 7 hrs => 7 * 18 = 126
D: 6 - 12 = 6hrs => 6 * 10 = 60
E: 6 - 1:30 = 4.5 hrs => 4.5 * 20 = 90

y = 512

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27 Dec 2024, 10:22

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The answer is 170 and 512

calculate 9am to 1.30 pm which is 4.5hrs = 4.5*12+3.5*16+2.5*18+1.5*10 = 170
Calculate 9am to 6pm which will be 9*12+8*16+7*18+6*10+4.5*20 = 512

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27 Dec 2024, 10:22

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At a publishing company, five editors—A through E—review manuscripts at different but constant speeds, starting at different times and continuing until 6:00 p.m. on the same day:

Editor A: Started at 9:00 a.m., reviewing 12 pages per hour.
Editor B: Started at 10:00 a.m., reviewing 16 pages per hour.
Editor C: Started at 11:00 a.m., reviewing 18 pages per hour.
Editor D: Started at 12:00 p.m., reviewing 10 pages per hour.
Editor E: Started at 1:30 p.m., reviewing 20 pages per hour.

Select for x the total number of pages reviewed by 1:30 p.m., and for y the total number of pages reviewed by 6:00 p.m. Make only two selections, one in each column.
x y
76
124
170
342
512

Till 1:30:
4.5*12+3.5*16+2.5*18+1.5*10=170

Till 6pm:
9*12+8*16+7*18+6*10+4.5*20=512

Ans 170, 512

AVMachine

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27 Dec 2024, 10:24

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1:30 pm = 13:30

Editor A: 9:00 a.m. to 13:30, reviewing 12 pages per hour.
Total Pages: 4.5 * 12 = 54
Editor B: 10:00 a.m. to 13:30, reviewing 16 pages per hour.
Total Pages: 3.5 * 16 = 56
Editor C: 11:00 a.m. to 13:30, reviewing 18 pages per hour.
Total Pages: 2.5 * 18 = 45
Editor D: 12:00 p.m. to 13:30, reviewing 10 pages per hour.
Total Pages: 1.5 * 10 = 15
Editor E: 1:30 p.m. to 13:30, reviewing 20 pages per hour.
Total Pages: 0 * 20 = 0

1. Cumulative Pages till 1:30 (13:30): 170

6:00 pm = 18:00

Editor A: 9:00 a.m. to 18:00, reviewing 12 pages per hour.
Total Pages: 9 * 12 = 108
Editor B: 10:00 a.m. to 18:00, reviewing 16 pages per hour.
Total Pages: 8 * 16 = 128
Editor C: 11:00 a.m. to 18:00, reviewing 18 pages per hour.
Total Pages: 7 * 18 = 126
Editor D: 12:00 p.m. to 18:00, reviewing 10 pages per hour.
Total Pages: 6 * 10 = 60
Editor E: 13:30 to 18:00, reviewing 20 pages per hour.
Total Pages: 4.5 * 20 = 90

2. Cumulative Pages till 06:00 pm (18:00): 512

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27 Dec 2024, 10:48

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Step 1: Calculate pages reviewed by each editor by 1:30 p.m.
Editor A: Works from 9:00 a.m. to 1:30 p.m. = 4.5 hours.
Pages reviewed: 12×4.5=54.

Editor B: Works from 10:00 a.m. to 1:30 p.m. = 3.5 hours.
Pages reviewed: 16×3.5=56.

Editor C: Works from 11:00 a.m. to 1:30 p.m. = 2.5 hours.
Pages reviewed: 18×2.5=45.

Editor D: Works from 12:00 p.m. to 1:30 p.m. = 1.5 hours.
Pages reviewed: 10×1.5=15.

Editor E: Starts at 1:30 p.m. = 0 pages reviewed by 1:30 p.m.

Total by 1:30 p.m.:
54+56+45+15+0=170.

Step 2: Calculate pages reviewed by each editor by 6:00 p.m.
Editor A: Works from 9:00 a.m. to 6:00 p.m. = 9 hours.
Pages reviewed: 12×9=108.

Editor B: Works from 10:00 a.m. to 6:00 p.m. = 8 hours.
Pages reviewed:
16×8=128.

Editor C: Works from 11:00 a.m. to 6:00 p.m. = 7 hours.
Pages reviewed:
18×7=126.

Editor D: Works from 12:00 p.m. to 6:00 p.m. = 6 hours.
Pages reviewed:
10×6=60.

Editor E: Works from 1:30 p.m. to 6:00 p.m. = 4.5 hours.
Pages reviewed: 20×4.5=90.

Total by 6:00 p.m.:
108+128+126+60+90=512.

Final Answer:
x: 170
y: 512

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27 Dec 2024, 10:49

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To solve this, let's calculate the total number of pages reviewed by each editor up to 1:30 p.m. and 6:00 p.m. separately.

Editor	Hours till 1:30 pm	Pages reviewed	Hours till 6 pm	Pages reviewed
A	4.5	12*4.5=54	9	12*9=108
B	3.5	16*3.5=56	8	16*8=128
C	2.5	18*2.5=45	7	18*7=126
D	1.5	10*1.5=15	6	10*6=60
E	0	0	4.5	20*4.5=90
Total		170 pages		512 pages

Hence we can fill these respective options.

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27 Dec 2024, 11:01

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1:30 Mark

		1:30 Mark	6:00 Mark
Editor	Pages/hr	Hours from starting time	Pages(Total)	Hours from starting time	Pages(Total)
A	12	4.5	54	9	108
B	16	3.5	56	8	128
C	18	2.5	45	7	126
D	10	1.5	15	6	60
E	20	0		4.5	90
Total			170		512

Bunuel

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At a publishing company, five editors—A through E—review manuscripts at different but constant speeds, starting at different times and continuing until 6:00 p.m. on the same day:

Editor A: Started at 9:00 a.m., reviewing 12 pages per hour.
Editor B: Started at 10:00 a.m., reviewing 16 pages per hour.
Editor C: Started at 11:00 a.m., reviewing 18 pages per hour.
Editor D: Started at 12:00 p.m., reviewing 10 pages per hour.
Editor E: Started at 1:30 p.m., reviewing 20 pages per hour.

Select for x the total number of pages reviewed by 1:30 p.m., and for y the total number of pages reviewed by 6:00 p.m. Make only two selections, one in each column.

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27 Dec 2024, 11:05

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value of X till 1:30 PM
A: Time worked- 4.5 hrs * 12 pages/hour = 54 pages
B: Time worked: 3.5 hours * 16 pages/hour = 56 pages
C: Time worked: 2.5 hours * 18 pages/hour = 45 pages
D: Time worked: 1.5 hours * 10 pages/hour = 15 pages
E: started at 1:30 Pm so 0 pages== Total = 54 + 56 + 45 + 15 + 0 = 170 pages

Value of Y till 6 PM

A: Time worked: 9 hours * 12 pages/hour = 108 pages
B: Time worked: 8 hours * 16 pages/hour = 128 pages
C: Time worked: 7 hours * 18 pages/hour = 126 pages
D: Time worked: 6 hours * 10 pages/hour = 60 pages
E: Time worked: 4.5 hours * 20 pages/hour = 90 pages
(y): 108 + 128 + 126 + 60 + 90 = 512 pages

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27 Dec 2024, 11:06

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A -

From 9 to 1:30 is 4.5 hrs.
in 4.5 hours, A reviews 4.5*12 = 54 pages

B -

From 10 to 1:30 is 3.5 hrs.
In 3.5 hrs, B reviews 3.5 * 16 = 56 pages

similarly, for each of them we will calculate their per hour rate * the time they took from their starting time till 1:30 pm.
and then we will add all these results and get,

170 pages for x.

For y,

from 1:30 to 6 it is 4.5 hours, so we will multiply each of their rates by 4.5 and add the results in 170 to get 512.

x = 170, y = 512

Bunuel

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This question was provided by GMAT Club
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At a publishing company, five editors—A through E—review manuscripts at different but constant speeds, starting at different times and continuing until 6:00 p.m. on the same day:

Editor A: Started at 9:00 a.m., reviewing 12 pages per hour.
Editor B: Started at 10:00 a.m., reviewing 16 pages per hour.
Editor C: Started at 11:00 a.m., reviewing 18 pages per hour.
Editor D: Started at 12:00 p.m., reviewing 10 pages per hour.
Editor E: Started at 1:30 p.m., reviewing 20 pages per hour.

Select for x the total number of pages reviewed by 1:30 p.m., and for y the total number of pages reviewed by 6:00 p.m. Make only two selections, one in each column.

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27 Dec 2024, 11:08

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Step 1: Total pages reviewed by 1.30 pm

Editor A: 9 am to 1.30 pm = 4.5 hours
Pages reviewed = 12 * 4.5 = 54

Editor B: 10 am to 1.30 pm = 3.5 hours
Pages reviewed = 16 * 3.5 = 56

Editor C: 11 am to 1.30 pm = 2.5 hours
Pages reviewed = 18 * 2.5 = 45

Editor D: 12 pm to 1.30 pm = 1.5 hours
Pages reviewed = 10 * 1.5 = 15

Total = 54 + 56 + 45 + 15 = 170

Step 2: Total pages reviewed by 6 pm

Editor A: 9 am to 6 pm = 9 hours
Pages reviewed = 12 * 9 = 108

Editor B: 10 am to 6 pm = 8 hours
Pages reviewed = 16 * 8 = 128

Editor C: 11 am to 6 pm = 7 hours
Pages reviewed = 18 * 7 = 126

Editor D: 12 pm to 6 pm = 6 hours
Pages reviewed = 10 * 6 = 60

Editor E: 1.30 pm to 6 pm = 4.5 hours
Pages reviewed = 10 * 4.5 = 45

Total = 108 + 128 + 126 + 60 + 90 = 512

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27 Dec 2024, 11:14

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Till 1:30 p.m.

Editor A: Starts at 9:00 a.m. and works until 1:30 p.m. (4.5 hours).
Pages reviewed: 12 * 4.5 = 54

Editor B: Starts at 10:00 a.m. and works until 1:30 p.m. (3.5 hours).
Pages reviewed: 16 * 3.5 = 56

Editor C: Starts at 11:00 a.m. and works until 1:30 p.m. (2.5 hours).
Pages reviewed: 18 * 2.5 = 45

Editor D: Starts at 12:00 p.m. and works until 1:30 p.m. (1.5 hours).
Pages reviewed: 10 * 1.5 = 15

Editor E: Starts at 1:30 p.m. (hasn’t started work yet by this time).
Pages reviewed: 0

Total by 1:30 p.m.: 54+56+45+15+0 = 170.

Till 6:00 p.m.

Editor A: Works from 9:00 a.m. to 6:00 p.m. (9 hours).
Pages reviewed: 12 * 9 = 108.

Editor B: Works from 10:00 a.m. to 6:00 p.m. (8 hours).
Pages reviewed: 16 * 8 = 128.

Editor C: Works from 11:00 a.m. to 6:00 p.m. (7 hours).
Pages reviewed: 18 * 7 = 126.

Editor D: Works from 12:00 p.m. to 6:00 p.m. (6 hours).
Pages reviewed: 10 * 6 = 60.

Editor E: Works from 1:30 p.m. to 6:00 p.m. (4.5 hours).
Pages reviewed: 20 * 4.5 = 90.

Total by 6:00 p.m.: 108+128+126+60+90=512.

Answer 170 and 512

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Start time	Review speed (pages/hr)	Time difference till 1:30	Total pages reviewed	Time difference till 6:00	Total pages reviewed
9:00	12	9/2	54	9	108
10:00	16	7/2	56	8	128
11:00	18	5/2	45	7	126
12:00	10	3/2	15	6	60
1:30	20	0	0	9/2	90

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