SOLUTION: can you please help me to solve this problem? A typist would require 45 hours to type of manuscript. A second typist, who takes 2 min. more to each page, would require 60 hrs. H

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: can you please help me to solve this problem? A typist would require 45 hours to type of manuscript. A second typist, who takes 2 min. more to each page, would require 60 hrs. H      Log On


   



Question 388217: can you please help me to solve this problem?
A typist would require 45 hours to type of manuscript. A second typist, who takes 2 min. more to each page, would require 60 hrs. How many pages of manuscript are there and how long per page does it take each typist?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A typist would require 45 hours to type of manuscript. A second typist, who takes 2 min. more to each page, would require 60 hrs. How many pages of manuscript are there and how long per page does it take each typist?
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The 1st typist takes 2700 minutes (45*60)
The 2nd takes 3600 minutes
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n = # of pages
time per page t = n/2700 = (n+2)/3600
cross multiply
2700(n+2) = 3600n
2700n + 5400 = 3600n
900n = 5400
t = 6 min/page for the 1st typist
--> 8 min/page for the second
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n = 2700/6 = 450 pages