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It takes 30 minutes for 5 old printers to produce a batch of magazines.

It takes 16 minutes for 4 new printers to produce an identical batch of magazines.

a) Which of the following would produce a batch of magazines in less time: 6 old printers or 2 new printers?

b) How much less time would this take?

Answer :

Final answer:

6 old printers would produce a batch of magazines in 5 minutes, while 2 new printers would take 8 minutes. Thus, 6 old printers are faster by 3 minutes.

Explanation:

To determine which option would produce a batch of magazines in less time, we need to first understand the rate at which each type of printer produces magazines. Given that it takes 30 minutes for 5 old printers to produce a batch, we can find the old printers' rate by dividing the total time by the number of printers: 30 minutes / 5 old printers = 6 minutes per printer for one batch. If there were 6 old printers, the time for one batch would be 30 minutes / 6 = 5 minutes.

Similarly, for new printers, it takes 16 minutes for 4 new printers to produce a batch. Therefore, each new printer takes 16 minutes / 4 new printers = 4 minutes per printer for one batch. If there were 2 new printers, the time for one batch would be 16 minutes / 2 = 8 minutes.

Thus, 6 old printers would produce a batch in 5 minutes, while 2 new printers would take 8 minutes. Therefore, 6 old printers are faster by 3 minutes.

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Rewritten by : Barada

Answer:

Step-by-step explanation: a) 6 old printers take 30*(5/6)=25 mins

2 new printers take 16*2=32 mins

the answer would be the 6 old printers

b) 32-25=7 mins