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Swagatalaxmi
Joined: 05 Sep 2023
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Schools: Wharton '27 (D) Columbia '27 (D) Booth '27 (WL) MIT '27 (D) Kellog '27 (D) Stern '27 (WL) Yale '27 (D) Fuqua '27 (D) Ross '27 (A$) Stanford '27 (S) Darden '27 (II)
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22 Apr 2024, 12:08
Kudos
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x: 4300
y: 4300
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
75% (02:56) correct
25%
(03:16)
wrong
based on 955
sessions
History
Date
Time
Result
Not Attempted Yet
In a certain factory, five different machines-Machines A through E-produce ceramic figurines, each at different rates. The machines were all brought online at different times, each continuously producing figurines at its own constant rate until 8:00 p.m.:
• Machine A at 1:00 p.m., producing 1,000 figurines per hour
• Machine B at 1:15 p.m., producing 500 figurines per hour
• Machine C at 1:45 p.m., producing 1,500 figurines per hour
• Machine D at 2:00 p.m., producing 400 figurines per hour
• Machine E at 2:45 p.m., producing 900 figurines per hour
At 2:45, when Machine E was brought online, the other four machines had produced a total of x figurines. After 2:45, the total combined rate of production for all five machines was y figurines per hour.
Select a value for x and a value for y so that the above statement accurately reflects the given information. Make only two selections, one in each column.
• Machine A at 1:00 p.m., producing 1,000 figurines per hour
• Machine B at 1:15 p.m., producing 500 figurines per hour
• Machine C at 1:45 p.m., producing 1,500 figurines per hour
• Machine D at 2:00 p.m., producing 400 figurines per hour
• Machine E at 2:45 p.m., producing 900 figurines per hour
At 2:45, when Machine E was brought online, the other four machines had produced a total of x figurines. After 2:45, the total combined rate of production for all five machines was y figurines per hour.
Select a value for x and a value for y so that the above statement accurately reflects the given information. Make only two selections, one in each column.
| x | y | |
| 1750 | ||
| 2800 | ||
| 4300 | ||
| 6250 | ||
| 7525 |
ShowHide Answer
Official Answer
x: 4300
y: 4300
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26 Apr 2024, 07:52
Kudos
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In a certain factory, five different machines-Machines A through E-produce ceramic figurines, each at different rates. The machines were all brought online at different times, each continuously producing figurines at its own constant rate until 8:00 p.m.:
• Machine A at 1:00 p.m., producing 1,000 figurines per hour
• Machine B at 1:15 p.m., producing 500 figurines per hour
• Machine C at 1:45 p.m., producing 1,500 figurines per hour
• Machine D at 2:00 p.m., producing 400 figurines per hour
• Machine E at 2:45 p.m., producing 900 figurines per hour
This question isn't complex. So, to get it correct, we just have to execute precisely.
At 2:45, when Machine E was brought online, the other four machines had produced a total of x figurines.
To find x, we can simply add the numbers of figurines produced by the machines by 2:45.
Machine A: 1,000 × 1.75 = 1,750
Machine B: 500 × 1.5 = 750
Machine C: 1,500 × 1 = 1,500
Machine D: 400 × 0.75 = 300
Total: 4,300
For x, select 4,300.
After 2:45, the total combined rate of production for all five machines was y figurines per hour.
To find y, we add up the 5 machines' production rates:
1,000 + 500 + 1,500 + 400 + 900 = 4,300
For y, select 4,300.
Correct answer: 4,300, 4,300
• Machine A at 1:00 p.m., producing 1,000 figurines per hour
• Machine B at 1:15 p.m., producing 500 figurines per hour
• Machine C at 1:45 p.m., producing 1,500 figurines per hour
• Machine D at 2:00 p.m., producing 400 figurines per hour
• Machine E at 2:45 p.m., producing 900 figurines per hour
This question isn't complex. So, to get it correct, we just have to execute precisely.
At 2:45, when Machine E was brought online, the other four machines had produced a total of x figurines.
To find x, we can simply add the numbers of figurines produced by the machines by 2:45.
Machine A: 1,000 × 1.75 = 1,750
Machine B: 500 × 1.5 = 750
Machine C: 1,500 × 1 = 1,500
Machine D: 400 × 0.75 = 300
Total: 4,300
For x, select 4,300.
After 2:45, the total combined rate of production for all five machines was y figurines per hour.
To find y, we add up the 5 machines' production rates:
1,000 + 500 + 1,500 + 400 + 900 = 4,300
For y, select 4,300.
Correct answer: 4,300, 4,300
General Discussion
24 Sep 2024, 00:32
Kudos
Bookmarks
I see "y" is asking for combined rate of production per hour. Shouldn't it be 4300/total hours of all machines.
Can you please help.
Thank you.
Can you please help.
Thank you.
MartyMurray
