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A copy machine, working at a constant rate, makes 35 copies per minute. A second copy machine, working at a constant rate, makes 55 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour?
  • a)
    90
  • b)
    2700
  • c)
    4500
  • d)
    5400
  • e)
    324000
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A copy machine, working at a constant rate, makes 35 copies per minute...
To find the combined rate of the two machines, add their individual rates:
35 copies/minute + 55 copies/minute = 90 copies/minute.
The question asks how many copies the machines make in half an hour, or 30 minutes.
90 copies/minute × 30 minutes = 2,700 copies. 
The correct answer is B.
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Most Upvoted Answer
A copy machine, working at a constant rate, makes 35 copies per minute...
To find the total number of copies made by both machines in half an hour, we need to calculate the combined rate at which they work.

1. Calculate the rate of the first copy machine:
The first copy machine makes 35 copies per minute.

2. Calculate the rate of the second copy machine:
The second copy machine makes 55 copies per minute.

3. Calculate the combined rate of both machines:
To calculate the combined rate, we add the rates of both machines.
Combined rate = Rate of machine 1 + Rate of machine 2
Combined rate = 35 copies/minute + 55 copies/minute
Combined rate = 90 copies/minute

4. Calculate the total number of copies made in half an hour:
Since there are 60 minutes in an hour, half an hour would be 30 minutes.
To find the total number of copies made in half an hour, we multiply the combined rate by the number of minutes.
Total copies made = Combined rate * Number of minutes
Total copies made = 90 copies/minute * 30 minutes
Total copies made = 2700 copies

Therefore, the two copy machines make a total of 2700 copies in half an hour. Hence, the correct answer is option B) 2700.
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