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It takes printer A 4 more minutes than printer B to print 40

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It takes printer A 4 more minutes than printer B to print 40 [#permalink] New post 02 Mar 2008, 08:04
It takes printer A 4 more minutes than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take printer A to print 80 pages?
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Re: Work-rate [#permalink] New post 02 Mar 2008, 08:55
Assume that B prints 40 Pages in X mins, then B prints 40/X pages in 1 min. So total pages it prints in 6 minutes is 240/X.

As A is taking 4 more minutes than B in printing the pages so A print 40/(X+4) pages in 1 min. So total pages it prints in 6 minutes is 240/(X+4).

So Total pages printed by A + B in 6 mins = 240/X + 240/(X+4) = 50

Solving this Quarditic quation will give X=8 as only real value.

There by A takes 12 mins to print 40 pages, hence for printing 80 pages it will take 24 mins.

Ans D
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Re: Work-rate [#permalink] New post 02 Mar 2008, 10:56
assume B takes x minutes to do 40 pages. B's rate is 40/x pages per minute, and A's rate is 40/x+4 minutes.

together, we have 40/x + 40/x+4 = 50/6 pages per minute. solve for x
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Re: Work-rate [#permalink] New post 02 Mar 2008, 16:52
pmenon wrote:
assume B takes x minutes to do 40 pages. B's rate is 40/x pages per minute, and A's rate is 40/x+4 minutes.

together, we have 40/x + 40/x+4 = 50/6 pages per minute. solve for x

which gives D.
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Re: Work-rate   [#permalink] 02 Mar 2008, 16:52
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It takes printer A 4 more minutes than printer B to print 40

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