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Answer :
Final answer:
Calculating the printing rates of two printers working together, we find that a 500-page document would take 100 minutes to print in total.
Explanation:
To find out how long it will take to print a 500-page document with both printers working together, we first need to determine the rate at which each printer can print. The first printer prints one page every 30 seconds and the second printer prints one page every 20 seconds. To find the combined rate, we calculate the number of pages each printer can print per minute and then add these rates together.
The first printer can print 2 pages per minute (60 seconds / 30 seconds per page), and the second printer can print 3 pages per minute (60 seconds / 20 seconds per page). Adding these rates together gives us a combined rate of 5 pages per minute (2 pages per minute + 3 pages per minute).
To print 500 pages at a rate of 5 pages per minute, we divide the total number of pages by the number of pages printed per minute:
500 pages / 5 pages/minute = 100 minutes
Therefore, it would take 100 minutes for both printers to print a 500-page document when working together.
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Answer: option b. In total, 100 minutes would be the time needed to print a 500-page document.
Problem analysis
If machine 1 and 2 print a page in 30 and 20 seconds respectively, then 1.5 (30/20) pages are printed at the same time or 2.5 pages every 30 seconds. Below is an algorithm that describes the solution steps.
Python code
if __name__ == '__main__':
- # Define variables
prnterspeed1 = float()
prnterspeed2 = float()
t1 = float()
t2 = float()
t = float()
n = float()
pt = 0
t = 0
p1 = 0
p2 = 0
- # Data entry
print("Calculate how long it will take 2 printers to print n pages at the same time")
print("Enter number of pages: ", end="")
n = float(input())
- # Every 30 seconds machine 1 prints one page and machine 2 prints 1.5 pages
while pt t = t+30 p1 = p1+1 p2 = p2+1.5 pt = p1+p2 print("Printer 1: ",p1," pages") print("Printer 2: ",p2," pages") print("Total seconds took to print ",n," pages: ",t/60," min") To learn more about math problems see: https://brainly.com/question/13763238 #SPJ4
