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Swagatalaxmi
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In a certain factory, five different machines-Machines A through E-pro 22 Apr 2024, 12:08
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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)!

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35% (medium)

Question Stats:

76% (02:54) correct 24% (03:16) wrong based on 1041 sessions

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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

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
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In a certain factory, five different machines-Machines A through E-pro 26 Apr 2024, 07:52
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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
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In a certain factory, five different machines-Machines A through E-pro 24 Sep 2024, 00:32
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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.

MartyMurray
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
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In a certain factory, five different machines-Machines A through E-pro 17 Nov 2024, 07:36
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KarishmaB
How to compute smth like this quickly?
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In a certain factory, five different machines-Machines A through E-pro 18 Nov 2024, 03:51
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Swagatalaxmi
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.

Show more

Value of x:

Let's approximate: From 1:45 till 2:45, the 4 machines (except E) are working

So they would have produced more than 1000 + 500 + 1500 + 400 = 3400 figurines.
Machine B works for 30 mins extra while machine D works for 15 mins less so they kind of cancel each other off (diff of a 100 or 200 so ignore since options are far off)
Machine A works 45 mins more so another 750 figurines were made.

Hence total number of figurines by 2:45 would be 4300, the only possible option.

Value of y:

The total combined rate of production for all five machines after 2:45 was simply the sum of their individual rates (since rates are additive)
So y = 3400 + 900 = 4300
(We had calculated 3400 in the step above)

Here is a video on work rate concepts: https://youtu.be/88NFTttkJmA

Select 4300 for both
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In a certain factory, five different machines-Machines A through E-pro 27 Nov 2025, 06:13
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