A manufacturing facility has two production lines, Line A and Line B.

Question

A manufacturing facility has two production lines A and B, that operate at constant but different rates. Line A's output rate is 50% higher than Line B's.

If the total output at the end of an 8-hour shift is 800 boxes, select the possible hourly output rate for each line. Make only one selection 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.

Bunuel · Accepted Answer

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"

catinabox · Answer

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.

Keshav1404 · Answer

Let R be the hourly output rate of Line B. Line A’s rate is 1.5R.

In an 8-hour shift, the total output is:
 
 Line A: 8×1.5R=12R 
 Line B: 8×R=8R  
Total output: 12R+8R=20

Given total output is 800 boxes:

20R=800

Solving for R:

R=800/20=40

So:
 
 Line A’s hourly output rate: 1.5×40=60 boxes 
 Line B’s hourly output rate: 40 boxes

Rad29 · Answer

Time*Rate=Work
Line A - T1*3R=W
Line B - T2*2R=W
A+B - 8*5R=800 ; R=20
 
putting value of R in the equations, we get A=60 per hour and B=40 per hour

A manufacturing facility has two production lines, Line A and Line B.

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Line A	Line B
		40
		60
		80
		120
		320
		480

Line A	Line B
		40
		60
		80
		120
		320
		480

GMAT Two-part Analysis (TPA) Questions

A manufacturing facility has two production lines, Line A and Line B.

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My Rewards