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Line A: 60
Line B: 40
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
83% (01:36) correct
17%
(02:16)
wrong
based on 317
sessions
History
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Not Attempted Yet
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 |
ShowHide Answer
Official Answer
Line A: 60
Line B: 40
10 Apr 2025, 10:04
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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"
General Discussion
catinabox
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Joined: 27 Nov 2019
Last visit: 13 May 2026
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GMAT 1: 770 Q50 V44
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30 Aug 2024, 09:49
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Official Explanation:
Let's assume that Line B runs at x boxes/ hr.
We've been told that Line A runs at a rate 50% higher than Line B or at 1.5x boxes/ hr.
If 800 boxes have been produced in 8 hours, the combined line rate = 100 boxes/ hr.
Since the rates are constant, x + 1.5x = 100
2.5x = 100
x = 40 boxes/hr.
Line A = 1.5* 40 = 60 boxes/ hr
Line B = 40 boxes/ hr
These output rates ensure that the combined total output for both lines at the end of the 8-hour shift is 800 boxes.
Let's assume that Line B runs at x boxes/ hr.
We've been told that Line A runs at a rate 50% higher than Line B or at 1.5x boxes/ hr.
If 800 boxes have been produced in 8 hours, the combined line rate = 100 boxes/ hr.
Since the rates are constant, x + 1.5x = 100
2.5x = 100
x = 40 boxes/hr.
Line A = 1.5* 40 = 60 boxes/ hr
Line B = 40 boxes/ hr
These output rates ensure that the combined total output for both lines at the end of the 8-hour shift is 800 boxes.
