Question

If a copier makes 3 copies every 4 seconds, then continues at this rate, how many minutes will it take to make 9,000 copies?

• A. 60
• B. 100
• C. 120
• D. 200
• E. 3,000

Hint:

When solving for time, remember to convert units properly (seconds to minutes, etc.).

Answer 1

The Correct Option is C

Step 1: Find the rate of copies made per second.
The copier makes 3 copies every 4 seconds, so the rate is \( \frac{3}{4} \) copies per second.
Step 2: Calculate the total time in seconds.
To make 9,000 copies, the time in seconds is: \[ \text{Time} = \frac{9000}{\frac{3}{4}} = 9000 \times \frac{4}{3} = 12,000 \text{ seconds}. \] Step 3: Convert seconds into minutes.
Since 1 minute = 60 seconds, the time in minutes is: \[ \text{Time in minutes} = \frac{12,000}{60} = 200 \text{ minutes}. \] Step 4: Conclusion.
Thus, the copier will take 200 minutes to make 9,000 copies. The correct answer is (D) 200.