SOLUTION: If I type a page in x minutes and my friend types a page in x-1 minutes how long to type 100 pages together?

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Question 605946: If I type a page in x minutes and my friend types a page in x-1 minutes how long to type 100 pages together?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1/x + 1/(x-1) = 1/t

t(x-1) + tx = x(x-1)

t(x-1+x) = x(x-1)

t(2x-1) = x(x-1)

t = (x(x-1))/(2x-1)

So working together, you both can type out a page in (x(x-1))/(2x-1) minutes.

So 100 pages will take (100x(x-1))/(2x-1) minutes

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