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10 Apr 2025, 10:00
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Line A: 60
Line B: 40
A manufacturing facility has two production lines, Line A and Line B. Line A operates at a constant rate that is 50% greater than the constant rate of Line B. At the end of an 8-hour shift, the total output from the two lines is 800 boxes.
Select for Line A, its hourly output rate in boxes per hour and select for Line B, its hourly output rate in boxes per hour that would be jointly consistent with the given information. Make only two selections, one in each column.
Select for Line A, its hourly output rate in boxes per hour and select for Line B, its hourly output rate in boxes per hour that would be jointly consistent with the given information. Make only two selections, one in each column.
| Line A | Line B | |
| 40 | ||
| 60 | ||
| 80 | ||
| 120 | ||
| 320 | ||
| 480 |
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Official Answer
Line A: 60
Line B: 40
10 Apr 2025, 10:00
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Official Solution:
In 8 hours, the two lines produce 800 boxes. This means their combined hourly output is 800 ÷ 8 = 100 boxes per hour. Line A operates at a rate 50% greater than Line B. Checking the options:
If Line B = 40 boxes per hour, then Line A = 40 + 50% of 40 = 60 boxes per hour.
Sum = 40 + 60 = 100 boxes per hour. Bingo — we have our match and no need to check anything else!
Correct answer:
Line A "60"
Line B "40"
Bunuel
In 8 hours, the two lines produce 800 boxes. This means their combined hourly output is 800 ÷ 8 = 100 boxes per hour. Line A operates at a rate 50% greater than Line B. Checking the options:
If Line B = 40 boxes per hour, then Line A = 40 + 50% of 40 = 60 boxes per hour.
Sum = 40 + 60 = 100 boxes per hour. Bingo — we have our match and no need to check anything else!
Correct answer:
Line A "60"
Line B "40"
