It takes 30 minutes for 5 old newspapers to produce a batch of newspapers. It takes 14 minutes for 4 new printers to produce a batch of newspapers. What is the difference in time between 6 old printers making a batch and 2 new printers making a batch?
Question
It takes 30 minutes for 5 old newspapers to produce a batch of newspapers. It takes 14 minutes for 4 new printers to produce a batch of newspapers. What is the difference in time between 6 old printers making a batch and 2 new printers making a batch?
Solution
Sure, let's break it down:
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First, we need to find out how long it takes for one old printer and one new printer to produce a batch of newspapers.
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For the old printers, if 5 printers take 30 minutes, then one printer would take 5 times longer because they are working together. So, one old printer takes 30 minutes * 5 = 150 minutes to produce a batch of newspapers.
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For the new printers, if 4 printers take 14 minutes, then one printer would take 4 times longer. So, one new printer takes 14 minutes * 4 = 56 minutes to produce a batch of newspapers.
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Now, we can calculate how long it would take for 6 old printers and 2 new printers to produce a batch of newspapers.
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If one old printer takes 150 minutes, then 6 old printers would take 150 minutes / 6 = 25 minutes.
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If one new printer takes 56 minutes, then 2 new printers would take 56 minutes / 2 = 28 minutes.
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Finally, we can find the difference in time between 6 old printers and 2 new printers making a batch. The difference is 28 minutes - 25 minutes = 3 minutes.
So, it takes 3 minutes longer for 2 new printers to produce a batch of newspapers compared to 6 old printers.
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