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29 Jun 2017, 11:56
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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87% (01:59) correct
13%
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George takes 8 hours to copy a 50 page manuscript while Sonya can copy the same in 6 hours. How many hours would it take them to copy a 100 page manuscript, if they work together ?
A) \(6\frac{6}{7}\)
B) 9
C) \(9\frac{5}{7}\)
D) \(10\frac{2}{3}\)
E) 14
A) \(6\frac{6}{7}\)
B) 9
C) \(9\frac{5}{7}\)
D) \(10\frac{2}{3}\)
E) 14
29 Jun 2017, 12:09
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To make things easy the work done to copy a 50 page manuscript is 48 units.
So George does 6 units/hour, where as Sonya does 8 units/hour
Since they have to copy a 100 page manuscript, it would take them 96 units of work
At their combined rates(14 units/hour) it will take them \(\frac{96}{14}\)
= \(\frac{48}{7}\) =\(6\frac{6}{7}\)(Option A)
So George does 6 units/hour, where as Sonya does 8 units/hour
Since they have to copy a 100 page manuscript, it would take them 96 units of work
At their combined rates(14 units/hour) it will take them \(\frac{96}{14}\)
= \(\frac{48}{7}\) =\(6\frac{6}{7}\)(Option A)
sashiim20
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29 Jun 2017, 12:36
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Bunuel
George takes 8 hours to copy a 50 page manuscript while Sonya can copy the same in 6 hours. How many hours would it take them to copy a 100 page manuscript, if they work together ?
A) \(6\frac{6}{7}\)
B) 9
C) \(9\frac{5}{7}\)
D) \(10\frac{2}{3}\)
E) 14
A) \(6\frac{6}{7}\)
B) 9
C) \(9\frac{5}{7}\)
D) \(10\frac{2}{3}\)
E) 14
George takes 8 hours to copy 50 page. His per hour work \(= \frac{1}{8}\)
Sonya takes 6 hours to copy 50 page. Her per hour work \(= \frac{1}{6}\)
Per hour work of George and Sonya together \(= \frac{1}{8} + \frac{1}{6} = \frac{3 + 4}{24} = \frac{7}{24}\)
Time taken to copy 50 pages by both George and Sonya together \(= \frac{24}{7}\)
To copy 100 pages will take twice the time to copy 50 pages.
Therefore Time to copy 100 pages by both George and Sonya together \(= \frac{24}{7} *2 = \frac{48}{7} = 6 \frac{6}{7}\)
Answer (A)...
