SOLUTION: I need help please! If it takes Cyndi 10 hours to proofread and Paul 11,How long would it take if they proofread together?

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Question 766495: I need help please! If it takes Cyndi 10 hours to proofread and Paul 11,How long would it take if they proofread together?
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!

Let the volume of work to be proofread be x (no. of pages, no. of books - whatever)

Cyndi takes 10 hours to complete x.
So in 1 hour, Cyndi does x/10 of the work

Paul takes 11 hours to complete the same x.
So in 1 hour, Paul does x/11 of the work

In 1 hour, Cyndi and Paul together would complete (x/10 + x/11) = 21%2Ax%2F110
of the work.

Total work to be completed = x

So if they work together, the time taken would be = 

Total work / amount of work completed in 1 hour

= x+%2F+%2821%2Ax%2F110%29 = cross%28x%29+%2A+110+%2F+%2821+%2A+cross%28x%29%29

= 110%2F21 or approximately 5.238 hours.

Hope you got :)