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24 Jan 2025, 10:01
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x: 170
y: 512
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.
• 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 |
ShowHide Answer
Official Answer
x: 170
y: 512
24 Jan 2025, 10:01
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Official Solution:
By 1:30 p.m.:
• Editor A: Worked 4.5 hours. Pages = 12 * 4.5 = 54.
• Editor B: Worked 3.5 hours. Pages = 16 * 3.5 = 56.
• Editor C: Worked 2.5 hours. Pages = 18 * 2.5 = 45.
• Editor D: Worked 1.5 hours. Pages = 10 * 1.5 = 15.
Total pages reviewed by 1:30 p.m. (\(x\)): 54 + 56 + 45 + 15 = 170.
From 1:30 p.m. to 6:00 p.m. (4.5 hours):
• Combined rate: 12 + 16 + 18 + 10 + 20 = 76 pages per hour.
• Pages reviewed after 1:30 p.m.: 76 * 4.5 = 342.
Total pages reviewed by 6:00 p.m. (\(y\)): 170 + 342 = 512.
Correct answer:
x "170"
y "512"
Bunuel
By 1:30 p.m.:
• Editor A: Worked 4.5 hours. Pages = 12 * 4.5 = 54.
• Editor B: Worked 3.5 hours. Pages = 16 * 3.5 = 56.
• Editor C: Worked 2.5 hours. Pages = 18 * 2.5 = 45.
• Editor D: Worked 1.5 hours. Pages = 10 * 1.5 = 15.
Total pages reviewed by 1:30 p.m. (\(x\)): 54 + 56 + 45 + 15 = 170.
From 1:30 p.m. to 6:00 p.m. (4.5 hours):
• Combined rate: 12 + 16 + 18 + 10 + 20 = 76 pages per hour.
• Pages reviewed after 1:30 p.m.: 76 * 4.5 = 342.
Total pages reviewed by 6:00 p.m. (\(y\)): 170 + 342 = 512.
Correct answer:
x "170"
y "512"
