If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?
siddhartharao77:
Hypothetical Question Sharukh. The answer will be 5 only.
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An intuitive response would be that "5=5=5 so 100=100=100 ".
If it takes 5 minutes for 5 machines to make 5 widgets, it doesn't take 20 times as long for 20 times as many machines to make 20 times the widgets. It will take the same 5 minutes for 100 machines to make 100 widgets, and it will take 5 minutes for 1000 machines to make 1000 widgets, and so on, because each machine spits out one widget every five minutes. That is the rate of widget production for the machines, and it doesn't change no matter how many machines you are running at once.
Answer: it would take 5 minutes for 100 machines to make 100 widgets.
If it takes 5 minutes for 5 machines to make 5 widgets, it doesn't take 20 times as long for 20 times as many machines to make 20 times the widgets. It will take the same 5 minutes for 100 machines to make 100 widgets, and it will take 5 minutes for 1000 machines to make 1000 widgets, and so on, because each machine spits out one widget every five minutes. That is the rate of widget production for the machines, and it doesn't change no matter how many machines you are running at once.
Answer: it would take 5 minutes for 100 machines to make 100 widgets.
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5 minutes...............
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