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tinman1412
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A printing press can print 300,000 cards in 12 hours. An 03 Aug 2007, 05:40
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A printing press can print 300,000 cards in 12 hours. An older printing press requires 18 hours to print 300,000. How long would it take for both to print 300,000 together.

I new to Work Problems and would like to know what your strategy is for solving this.

thanks



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A printing press can print 300,000 cards in 12 hours. An 03 Aug 2007, 06:52
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tinman1412
A printing press can print 300,000 cards in 12 hours. An older printing press requires 18 hours to print 300,000. How long would it take for both to print 300,000 together.

I new to Work Problems and would like to know what your strategy is for solving this.

thanks
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The key is to break down the problem into how much work per unit of time.

In 12 hrs A prints 300,000
In 1 hrs, A will pint 300,000/12
Similarly,
In 1 hr, B will Print 300,000/18


If they print together, in 1 hr they can print - 300K/12 +300K/18 = 1500K/36

now, to print 1500K/36 they together take 1 hr
to print 1k they should take 1/(1500K/36) = 36/1500K
hence to print 300 K, they will need - 300k* 36/1500K = 36/5 = 7.2 hrs

hope it helps.
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A printing press can print 300,000 cards in 12 hours. An 03 Aug 2007, 09:02
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tinman1412
A printing press can print 300,000 cards in 12 hours. An older printing press requires 18 hours to print 300,000. How long would it take for both to print 300,000 together.

I new to Work Problems and would like to know what your strategy is for solving this.

thanks
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I think the hint here is work remains same 300.000 cards.
So A does 1/12 work in 1 hour
and B(old ) does 1/18 work in 1 hour.

So in 1 hour how much work they will do? ie 1/12+ 1/18 = 5/36 work
So work will be done 36/5 hours.
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A printing press can print 300,000 cards in 12 hours. An 03 Aug 2007, 09:40
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New press:
300000 cards in 12 hours -> 25000 cards/hr

Old Press:
300000 cards in 18 hours -> 50000/3 cards/hr

Together, they make 125000/3 cards per hour. 300,000 cards will take 300000 * 3/125000 = 7.5 hours.
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A printing press can print 300,000 cards in 12 hours. An 07 Aug 2007, 13:11
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To simplify, you can make 300000 = a. Then, Machine1 takes 12 hs and Machine2 18. In one hour working together they print

a/12 + a/18 = 5a/36. Then, in 36/5 hs will print a. 36/5 = 7.2 hs.
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A printing press can print 300,000 cards in 12 hours. An 07 Aug 2007, 13:15
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tinman1412
A printing press can print 300,000 cards in 12 hours. An older printing press requires 18 hours to print 300,000. How long would it take for both to print 300,000 together.

I new to Work Problems and would like to know what your strategy is for solving this.

thanks
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Because it is the same 300,000 card, you can simply use the combined work formula.

1/A + 1/B = 1/T = 1/12 + 1/18 = 5/36
T = 36/5 =7.2



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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