Final answer:
In rate problems, it is important to calculate the rate first then use this to determine the desired value. In this case, it takes 20 minutes to print 3600 sheets of paper on the machine in the question.
Step-by-step explanation:
This problem is asking us to find how long it will take to print a certain number of sheets of paper, given a known rate. This is a classic example of a rate problem. The rate at which this machine prints is 1440 sheets in 8 minutes, or 180 sheets per minute. Since the total number of sheets we want to print is 3600, we want to find out how long this will take.
First, we will calculate the rate. We find this by dividing the total number of sheets by the duration it takes to print. So, 1440/8 = 180 sheets per minute.
Next, we will apply this calculated rate to determine the time it will take to print 3600 sheets. We do this by dividing the total number of sheets (3600) by the rate (180 sheets per minute): 3600 / 180 = 20 minutes.
Therefore, it will take 20 minutes to print 3600 sheets of paper, so the answer is choice b) 20 minutes.
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