Advanced Mathematics Primary 5 Rate

A school office has two printers. Printer A prints 24 pages per minute and starts immediately. Printer B prints 30 pages per minute but needs a 4-minute warm-up before it begins printing. To print 600 pages on a single printer, which printer finishes the job in less time, and by how many minutes?

A Printer A, by 1 minute
B Printer A, by 9 minutes
C Printer B, by 1 minute
D Printer B, by 5 minutes
Show Worked Solution

Worked Solution

Step 1: Compute the time for Printer A. A prints 24 pages per minute with no warm-up. Time for A = 600 ÷ 24 = 25 minutes. Step 2: Compute the time for Printer B. B needs a 4-minute warm-up, then prints at 30 pages per minute. Printing time for B = 600 ÷ 30 = 20 minutes. Total time for B = 4 + 20 = 24 minutes. Step 3: Compare the two total times. A = 25 min, B = 24 min. B finishes first. Step 4: Difference = 25 − 24 = 1 minute. Printer B is faster by 1 minute. Answer: Printer B, by 1 minute

Correct answer: Printer B, by 1 minute

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