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26 Aug 2021, 21:15
Kudos
Bookmarks
Printer
A: 35 Printer
B: 28
A: 35 Printer
B: 28
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
71% (02:49) correct
29%
(03:08)
wrong
based on 858
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Two high-speed printers are printing 140 annual reports of 81 pages each. Printer A prints at a rate that is 25% faster than Printer B's rate, and it takes 3 hours for both printers working together to complete the job.
Identify the per-minute page rate at which each printer prints.
Identify the per-minute page rate at which each printer prints.
|
Printer A |
Printer B |
|
| 28 | ||
| 35 | ||
| 42 | ||
| 52.5 | ||
| 84 | ||
| 105 |
ShowHide Answer
Official Answer
Printer
A: 35 Printer
B: 28
A: 35 Printer
B: 28
05 Oct 2021, 15:42
Kudos
Bookmarks
Let A and B be the rates of the printers.
A = 1.25B
140 reports, 81 pages each = 11,340 pages.
Working together, A and B can complete in 3 hours:
A + B = 11,340/3
1.25B + B = 3,780
2.25B = 3,780
B = 1,680 pages / hour
A = 1,680 * 1.25 = 2,100 pages / hour
Per minute rate of A = 2,100 / 60 = 35 pages /minute
Per minute rate of B = 28 pages / minute
A = 1.25B
140 reports, 81 pages each = 11,340 pages.
Working together, A and B can complete in 3 hours:
A + B = 11,340/3
1.25B + B = 3,780
2.25B = 3,780
B = 1,680 pages / hour
A = 1,680 * 1.25 = 2,100 pages / hour
Per minute rate of A = 2,100 / 60 = 35 pages /minute
Per minute rate of B = 28 pages / minute
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19 Oct 2021, 10:01
Kudos
Bookmarks
Let Printer B's speed be x pages per minute. So, printer A's speed is 1.25x.
Given that the total job = 140*81 pages
Total time taken = 3*60 minutes
180 (x + 1.25x) = 140*81
2.25x = \(\frac{140*81}{180}\)
x = \(\frac{140*81}{180*2.25}\)
x = 28.
So, printer A's speed = 1.25x = 35
Printer A's Speed = 35
Printer B's Speed = 28
Given that the total job = 140*81 pages
Total time taken = 3*60 minutes
180 (x + 1.25x) = 140*81
2.25x = \(\frac{140*81}{180}\)
x = \(\frac{140*81}{180*2.25}\)
x = 28.
So, printer A's speed = 1.25x = 35
Printer A's Speed = 35
Printer B's Speed = 28
