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George takes 8 hours to copy a 50 page manuscript while

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amitdgr
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George takes 8 hours to copy a 50 page manuscript while [#permalink] New post   27 Oct 2008, 20:46
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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



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Re: George takes 8 hours to copy a 50 page manuscript while [#permalink] New post   27 Oct 2008, 21:37
i takes 16 hrs for george to print 100 pages and 12 hours for sonya

working together they will take 1/16+1/12 or 48/7 hours

A it is..
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Re: George takes 8 hours to copy a 50 page manuscript while [#permalink] New post   28 Oct 2008, 15:08
50/8 + 50/6 =1/h=700/48=100pgs in 6 and 6/7 hrs

A
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Re: George takes 8 hours to copy a 50 page manuscript while [#permalink] New post   28 Oct 2008, 15:54
another A

16 hrs -100 pages 12 hrs -100 pages

Combined rate is 700/48 pages in 1 hr.

100 pages in 48/7 hrs = 6 6/7
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Re: George takes 8 hours to copy a 50 page manuscript while [#permalink] New post   28 Oct 2008, 16:29
Another A
1/(1/16+1/12) = 48/7 = 6 6/7
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Re: George takes 8 hours to copy a 50 page manuscript while [#permalink] New post   28 Oct 2008, 21:26
OA is A ..... I had done some stupid mistake :)



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Re: George takes 8 hours to copy a 50 page manuscript while [#permalink]
28 Oct 2008, 21:26
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