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If it takes 6 printing presses 4 hours to print 5000

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If it takes 6 printing presses 4 hours to print 5000 [#permalink] New post 08 Feb 2004, 00:20
If it takes 6 printing presses 4 hours to print 5000 newspapers, how long should it take 3 presses to print 3000 newspapers?

3 hrs., 20 min.

4 hrs., 20 min.

4 hrs., 48 min.

5 hrs., 48 min.

6 hrs., 50 min.
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 [#permalink] New post 08 Feb 2004, 00:47
It takes 6 presses 4 * 3/5 = 12/5 hours to print 3000 newspapers.
It takes 3 presses 2 * 12/5 = 24/5 hours = 4h48min to print 3000 newpapers
Answer: C
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 [#permalink] New post 08 Feb 2004, 06:37
6Ps take 4Hs to 5000
so 3Ps take 8Hs to do 5000
then for 3000 they take 8 * 3/5 = 4 hrs 48 minutes
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 [#permalink] New post 08 Feb 2004, 15:36
Yes its C...

Official explanation:
The first step in solving this problem is determining the rate of the printing presses. If it takes six presses 4 hours to print 5000 newspapers, the rate is 5000/4 newspapers/hour. Three presses are 1/2 as many presses, so we multiply the rate by 1/2, 5000/4 ├Ч 1/2 = 5000/8. Once we know the rate, we can solve for time by using the equation time = amount/rate. The amount (number of papers) equals 3000 and the rate is 5000/8, therefore, Time = 3000/(5000/8). Simplify that to Time = 3000/625, and simplify again to Time = 24/5 = 4 4/5 = 4 hrs., 48 min.

Vivek.
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  [#permalink] 08 Feb 2004, 15:36
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