12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes 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.

IMO x=170 y=512 To determine the total number of pages reviewed by 1:30 p.m. (x) and by 6:00 p.m. (y), we need to calculate the number of pages each editor reviewed during those times. Calculation of Pages Reviewed by 1:30 p.m. (x): Editor A: Started at 9:00 a.m. Reviewing speed: 12 pages per hour Time from 9:00 a.m. to 1:30 p.m.: 4.5 hours Pages reviewed by A=12×4.5=54 pages Editor B: Started at 10:00 a.m. Reviewing speed: 16 pages per hour Time from 10:00 a.m. to 1:30 p.m.: 3.5 hours Pages reviewed by B=16×3.5=56 pages Editor C: Started at 11:00 a.m. Reviewing speed: 18 pages per hour Time from 11:00 a.m. to 1:30 p.m.: 2.5 hours Pages reviewed by C=18×2.5=45 pages Editor D: Started at 12:00 p.m. Reviewing speed: 10 pages per hour Time from 12:00 p.m. to 1:30 p.m.: 1.5 hours Pages reviewed by D=10×1.5=15 pages Editor E: Started at 1:30 p.m. Reviewing speed: 20 pages per hour Time from 1:30 p.m. to 1:30 p.m.: 0 hours (has not started yet) Pages reviewed by E=0 pages Summing up the pages reviewed by 1:30 p.m.: x=54+56+45+15+0=170 pages Calculation of Pages Reviewed by 6:00 p.m. (y): Editor A: Time from 9:00 a.m. to 6:00 p.m.: 9 hours Pages reviewed by A=12×9=108 pages Editor B: Time from 10:00 a.m. to 6:00 p.m.: 8 hours Pages reviewed by B=16×8=128 pages Editor C: Time from 11:00 a.m. to 6:00 p.m.: 7 hours Pages reviewed by C=18×7=126 pages Editor D: Time from 12:00 p.m. to 6:00 p.m.: 6 hours Pages reviewed by D=10×6=60 pages Editor E: Time from 1:30 p.m. to 6:00 p.m.: 4.5 hours Pages reviewed by E=20×4.5=90 pages Summing up the pages reviewed by 6:00 p.m.: y=108+128+126+60+90=512 pages

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12 Days of Christmas GMAT Competition - Day 10: At a publishing

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sushanth21

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efficiency of A = 12 pg/hr, B = 16 pg/hr, C = 18 pg/hr, D = 10 pg/hr, E = 20 pg/hr

By 1:30
x = (4.5hr)*12 + (3.5hr)*16 + (2.5hr)*18 + (1.5hr)*10 = 170

By 6:00
y = (9hr)*12 + (8hr)*16 + (7hr)*18 + (6hr)*10 + (4.5hr)*20 = 512

Hence x = 170, y = 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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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.

Solving for part 1, till 1:30 PM

[*]Editor A: 4.5 hours * 12 pages per hour = 54 pages
[*]Editor B: 3.5 hours * 16 pages per hour = 56 Pages
[*]Editor C: 2.5 hours * 18 pages per hour = 45 pages
[*]Editor D: 1.5 hours * 10 pages per hour = 15 pages
[*]Editor E: 0 hours * 20 pages per hour = 00 pages

[*]Adding all the pages we get, 170 pages

Solving for part 2, till 6:00 PM

[*]Editor A: 9 hours * 12 pages per hour = 108 pages
[*]Editor B: 8 hours * 16 pages per hour = 128 Pages
[*]Editor C: 7 hours * 18 pages per hour = 126 pages
[*]Editor D: 6 hours * 10 pages per hour = 60 pages
[*]Editor E: 4.5 hours * 20 pages per hour = 90 pages

[*]Adding all the pages we get, 512 pages

The answer is 170 pages till 1:30 PM and 512 pages till 6PM

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Bunuel

12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

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.

Since editor E starts at 1:30 so we will exclude him

For remaining editors the pages completed till 1.30 is

A - worked for 4.5 hours

total (A) = 4.5*12 = 54

B - Worked for 3.5 hours

Total(B) = 3.5*16 = 56

C - Worked for 2.5 hours

Total(C) = 2.5*18 = 45

D - Worked for 1.5 hours

Total(D) = 1.5*10 = 15

Adding all the total we get 54+56+45+15 = 170.

Similarly till 6 PM

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

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

x=170
y=512

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IMO

x=170

y=512

To determine the total number of pages reviewed by 1:30 p.m. (x) and by 6:00 p.m. (y), we need to calculate the number of pages each editor reviewed during those times.

Calculation of Pages Reviewed by 1:30 p.m. (x):

Editor A:
- Started at 9:00 a.m.
- Reviewing speed: 12 pages per hour
- Time from 9:00 a.m. to 1:30 p.m.: 4.5 hours
  Pages reviewed by A=12×4.5=54 pages
Editor B:
- Started at 10:00 a.m.
- Reviewing speed: 16 pages per hour
- Time from 10:00 a.m. to 1:30 p.m.: 3.5 hours
  Pages reviewed by B=16×3.5=56 pages
Editor C:
- Started at 11:00 a.m.
- Reviewing speed: 18 pages per hour
- Time from 11:00 a.m. to 1:30 p.m.: 2.5 hours
  Pages reviewed by C=18×2.5=45 pages
Editor D:
- Started at 12:00 p.m.
- Reviewing speed: 10 pages per hour
- Time from 12:00 p.m. to 1:30 p.m.: 1.5 hours
  Pages reviewed by D=10×1.5=15 pages
Editor E:
- Started at 1:30 p.m.
- Reviewing speed: 20 pages per hour
- Time from 1:30 p.m. to 1:30 p.m.: 0 hours (has not started yet)
  Pages reviewed by E=0 pages

Summing up the pages reviewed by 1:30 p.m.:

x=54+56+45+15+0=170 pages

Calculation of Pages Reviewed by 6:00 p.m. (y):

Editor A:
- Time from 9:00 a.m. to 6:00 p.m.: 9 hours
  Pages reviewed by A=12×9=108 pages
Editor B:
- Time from 10:00 a.m. to 6:00 p.m.: 8 hours
  Pages reviewed by B=16×8=128 pages
Editor C:
- Time from 11:00 a.m. to 6:00 p.m.: 7 hours
  Pages reviewed by C=18×7=126 pages
Editor D:
- Time from 12:00 p.m. to 6:00 p.m.: 6 hours
  Pages reviewed by D=10×6=60 pages
Editor E:
- Time from 1:30 p.m. to 6:00 p.m.: 4.5 hours
  Pages reviewed by E=20×4.5=90 pages

Summing up the pages reviewed by 6:00 p.m.:

y=108+128+126+60+90=512 pages

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27 Dec 2024, 12:29

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x=170 and y=512

Bunuel

12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

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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Computing the total made by 1.30pm we get 170 (from multiplying the time by the rate per review).
For the total you just pick two extreme options for editor E and A whose review past 1:30 combined is 198. Adding that to the initial 170 we are already past 342 meaning the other choice can only be 512

Bunuel

12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

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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UPTO 1:30
A=54
B=5
C=45
D=15
E=0
Total=170

1:30 TO 6
A=54
B=72
C=81
D=45
E=90
Total=342

Total upto 6=170+342=512

Answer 170 & 512

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Bunuel

12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

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.

Number of pages typed between 9:00 and 1:00 pm

[*]Editor A: 48
[*]Editor B: 48
[*]Editor C: 36
[*]Editor D: 15
[*]Editor E: 0

Number of pages typed between 1:00 pm and 1:30 pm

[*]Editor A: 6
[*]Editor B: 8
[*]Editor C: 9
[*]Editor D: 5
[*]Editor E: 0
Total : 170

Number of pages typed between 1:30 pm and 2:00 pm

[*]Editor A: 6
[*]Editor B: 8
[*]Editor C: 9
[*]Editor D: 5
[*]Editor E: 10

Number of pages typed between 2:00 pm and 6:00 pm

[*]Editor A: 48
[*]Editor B: 64
Editor C: 72
[*]Editor D: 40
[*]Editor E: 80
Total: 512

x = 170
y = 512

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27 Dec 2024, 17:02

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For x (total pages reviewed by 1:30 p.m.):

Editor A: 12 pages/hour for 4.5 hours = 54 pages
Editor B: 16 pages/hour for 3.5 hours = 56 pages
Editor C: 18 pages/hour for 2.5 hours = 45 pages
Editor D: 10 pages/hour for 1.5 hours = 15 pages
Editor E: 0 pages (started at 1:30 p.m.)

Total = 54 + 56 + 45 + 15 = 170 pages. So, x = 170.

For y (total pages reviewed by 6:00 p.m.):

In the first half of the day, 170 pages were reviewed by 4 out of 5 editors. The second half of the day, with all editors working, will result in significantly more than 170 pages.
So, the total work for the day (first half + second half) will consequently be much higher than 340, with the only fitting option being y = 512.

Final answer: x = 170, y = 512.

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27 Dec 2024, 20:29

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To calculate the number of pages x reviewed by 1:30 pm we can calculate it as:

9/2*12+7/2*16+5/2*18+3/2*10=170

To calculate the number of pages x reviewed by 6:00 pm we can calculate it as:
9*12+8*16+7*18+6*10+9/2*20=512

Hence the values are
X:170
Y:512

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h is hours and p is pages
Reviewed by 1:30pm,
A: 4.5h*12p = 54p
B: 3.4h*16p = 56p
C: 2.5h*18p = 45p
D: 1.5h*10p = 15p
E: 0p
Total (x) = 170p

Reviewed by 6pm,
A: 9h*12p = 108p
B: 8h*16p = 128p
C: 7h*18p = 126p
D: 6h*10p = 60p
E: 4.5h*20p = 90p
Total (y) = 512p

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Bunuel

12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

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.

Calculate Total Pages Reviewed by 1:30 p.m.:
Editor A:

9:00 a.m. to 1:30 p.m.=4.5 hours
Pages reviewed: 12×4.5=54

Editor B:

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

Editor C:

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

Editor D:

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., so contributes 0 pages before 1:30 p.m.

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

Calculate Total Pages Reviewed by 6:00 p.m.:
Editor A:

9:00 a.m. to 6:00 p.m.= 9 hours
Pages reviewed: 12×9=108

Editor B:

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

Editor C:

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

Editor D:

12:00 p.m. to 6:00 p.m.=6 hours
Pages reviewed: 10×6=60

Editor E:

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

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Please find the solution attached

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bellsprout24

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x = 170 and y = 512

x = 12*4.5 + 16*3.5 + 18*2.5 + 10*1.5 = 170
y = 12*9 + 16*8 + 18*7 + 10*6 + 20*4.5 = 512

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Bunuel

12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

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.

Let's calculate the total number of pages reviewed by each editor by 1:30 p.m. and 6:00 p.m. and find the correct values for x (pages reviewed by 1:30 p.m.) and y (pages reviewed by 6:00 p.m.).
Total Pages Reviewed by 1:30 p.m. (x):
At 1:30 p.m., the editors who have been working are:

Editor A: Started at 9:00 a.m., so they have worked for 4.5 hours (from 9:00 a.m. to 1:30 p.m.).
Pages reviewed = 4.5 hours * 12 pages/hour = 54 pages.
Editor B: Started at 10:00 a.m., so they have worked for 3.5 hours (from 10:00 a.m. to 1:30 p.m.).
Pages reviewed = 3.5 hours * 16 pages/hour = 56 pages.
Editor C: Started at 11:00 a.m., so they have worked for 2.5 hours (from 11:00 a.m. to 1:30 p.m.).
Pages reviewed = 2.5 hours * 18 pages/hour = 45 pages.
Editor D: Started at 12:00 p.m., so they have worked for 1.5 hours (from 12:00 p.m. to 1:30 p.m.).
Pages reviewed = 1.5 hours * 10 pages/hour = 15 pages.
Editor E: Started at 1:30 p.m., so they have not reviewed any pages by 1:30 p.m.

Total pages reviewed by 1:30 p.m. (x) = 54 + 56 + 45 + 15 = 170 pages.
Total Pages Reviewed by 6:00 p.m. (y):
At 6:00 p.m., the editors who have been working are:

Editor A: Started at 9:00 a.m., so they have worked for 9 hours (from 9:00 a.m. to 6:00 p.m.).
Pages reviewed = 9 hours * 12 pages/hour = 108 pages.
Editor B: Started at 10:00 a.m., so they have worked for 8 hours (from 10:00 a.m. to 6:00 p.m.).
Pages reviewed = 8 hours * 16 pages/hour = 128 pages.
Editor C: Started at 11:00 a.m., so they have worked for 7 hours (from 11:00 a.m. to 6:00 p.m.).
Pages reviewed = 7 hours * 18 pages/hour = 126 pages.
Editor D: Started at 12:00 p.m., so they have worked for 6 hours (from 12:00 p.m. to 6:00 p.m.).
Pages reviewed = 6 hours * 10 pages/hour = 60 pages.
Editor E: Started at 1:30 p.m., so they have worked for 4.5 hours (from 1:30 p.m. to 6:00 p.m.).
Pages reviewed = 4.5 hours * 20 pages/hour = 90 pages.

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

x = 170 (total pages reviewed by 1:30 p.m.)
y = 512 (total pages reviewed by 6:00 p.m.)

So, the correct answer is:

x = 170
y = 512

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28 Dec 2024, 00:32

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Rate of A=12/hour
Rate of B=16/h
Rate of C=18/h
Rate of D=10/h
Rate of E=20/h
from 9 AM to 1:30 PM total time {4.5 hours} work done by A
from 10 AM to 1:30 PM total time {3.5 hours} work done by B
from 11 AM to 1:30 PM total time {2.5 hours} work done by C
from 12 AM to 1:30 PM total time {1.5 hours} work done by D

so work done till 1:30 PM:
12*4.5+16*3.5+18*2.5+10*1.5={170} {yes present in the option}

now in order to calculate the work done by all till 6 PM,
we can calculate the overall rate of ABCDE from 1:30 PM which is {12+16+18+10+20=76}
so 76*4.5=342
and previous work is 170
so 170+342=512 {present in the option}

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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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28 Dec 2024, 01:12

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Explanation

By 1:30 p.m.:
- A works from 9:00 to 1:30 → 4.5 hours at 12 pph → 4.5 × 12 = 54 pages
- B works from 10:00 to 1:30 → 3.5 hours at 16 pph → 3.5 × 16 = 56 pages
- C works from 11:00 to 1:30 → 2.5 hours at 18 pph → 2.5 × 18 = 45 pages
- D works from 12:00 to 1:30 → 1.5 hours at 10 pph → 1.5 × 10 = 15 pages
- E starts at 1:30 → 0 pages by 1:30
- Total by 1:30 p.m. = 54 + 56 + 45 + 15 + 0 = 170.
By 6:00 p.m.:
- A works 9:00 to 6:00 → 9 hours at 12 pph → 9 × 12 = 108 pages
- B works 10:00 to 6:00 → 8 hours at 16 pph → 8 × 16 = 128 pages
- C works 11:00 to 6:00 → 7 hours at 18 pph → 7 × 18 = 126 pages
- D works 12:00 to 6:00 → 6 hours at 10 pph → 6 × 10 = 60 pages
- E works 1:30 to 6:00 → 4.5 hours at 20 pph → 4.5 × 20 = 90 pages
- Total by 6:00 p.m. = 108 + 128 + 126 + 60 + 90 = 512.

Answer is
X = 170
Y = 512

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28 Dec 2024, 01:14

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The info gave us the following table

	pages per hour	start time	# hours to 1:30 pm	# pages reviewed at 1:30 pm	# pages reviewed at 6 pm
A	12	9:00 AM	4.5	54	108
B	16	10:00 AM	3.5	56	128
C	18	11:00 AM	2.5	45	126
D	10	12:00 PM	1.5	15	60
E	20	1:30 PM	0	0	90
Total				170	512

So x = 170, y = 512

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28 Dec 2024, 02:20

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Until 1:30 A completed 4 1/2 hrs ,B -3 1/2 hrs C- 2 1/2 hrs , D completes 1 1/2 hrs . mutiplying their efficiencies with rates we get 54,56,45,15 pages respectively. So together 170

Until 6:00 pm we get 9/2(12+16+18+20+10) = 342
Therefore total is 342+170 =512

x=170
y=512

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28 Dec 2024, 03:17

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Hi everyone

Last day!

We are dealing here with a calculation and logic question.
Straight forward, we will build a table of the data:

	Starting	Rate	1:30pm	6:00pm
A	9:00	12	54	54
B	10:00	16	56	72
C	11:00	18	45	81
D	12:00	10	15	45
E	13:30	20	-	90
Total			170	512

Our Answers are x=170 and y=512

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