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If two copying machines work simultaneously at their respective constant rates, how many copies do they produce in 5 minutes?

(1) One of the machines produces copies at the constant rate of 250 copies per minute.
(2) One of the machines produces copies at twice the constant rate of the other machine.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
If two copying machines work simultaneously at their respective consta...
Given:
- Two copying machines work simultaneously at their respective constant rates.

To find:
- The number of copies produced in 5 minutes.

Statement 1:
- One of the machines produces copies at the constant rate of 250 copies per minute.

Statement 2:
- One of the machines produces copies at twice the constant rate of the other machine.

Approach:
- We need to determine the combined rate of both machines working together to find the number of copies produced in 5 minutes.
- We can use the formula: Rate * Time = Work

Explanation:

Statement 1:
- One of the machines produces copies at the constant rate of 250 copies per minute.
- We know the rate of one machine is 250 copies per minute.
- However, we do not have any information about the rate of the second machine or their combined rate.
- Statement 1 alone is not sufficient to answer the question.

Statement 2:
- One of the machines produces copies at twice the constant rate of the other machine.
- Let's assume the rate of the slower machine is x copies per minute.
- According to the statement, the rate of the faster machine is 2x copies per minute.
- Again, we do not have any information about the specific values of x or 2x, or their combined rate.
- Statement 2 alone is not sufficient to answer the question.

Statements 1 and 2 together:
- Combining both statements, we know that one machine has a constant rate of 250 copies per minute and the other machine has a rate twice as fast.
- However, we still do not know the specific values of the rates or their combined rate.
- Therefore, even when considering both statements together, we do not have enough information to determine the number of copies produced in 5 minutes.

Conclusion:
- Neither statement alone nor both statements together are sufficient to answer the question.
- The correct answer is option E, which states that the statements together are not sufficient to answer the question, and additional data are needed.
Community Answer
If two copying machines work simultaneously at their respective consta...
To determine the number of copies produced in 5 minutes by two copying machines working simultaneously, we need to consider both the rates at which they produce copies.
Let's analyze each statement:
Statement (1): One of the machines produces copies at the constant rate of 250 copies per minute.
If we know the constant rate of one machine, we can calculate the number of copies it produces in 5 minutes. However, this statement alone does not provide any information about the rate of the other machine, so we cannot determine the total number of copies produced in 5 minutes. Therefore, statement (1) alone is not sufficient.
Statement (2): One of the machines produces copies at twice the constant rate of the other machine.
This statement provides a comparison between the rates of the two machines but does not give us specific values for those rates. Without knowing the actual rates, we cannot calculate the number of copies produced in 5 minutes. Thus, statement (2) alone is not sufficient.
Since neither statement alone is sufficient to answer the question, we cannot determine the number of copies produced in 5 minutes using only the information provided in statements (1) and (2). Therefore, the answer is E: Statements (1) and (2) together are not sufficient to answer the question asked, and additional data are needed.
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If two copying machines work simultaneously at their respective constant rates, how many copies do they produce in 5 minutes?(1) One of the machines produces copies at the constant rate of 250 copies per minute.(2) One of the machines produces copies at twice the constant rate of the other machine.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer?
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If two copying machines work simultaneously at their respective constant rates, how many copies do they produce in 5 minutes?(1) One of the machines produces copies at the constant rate of 250 copies per minute.(2) One of the machines produces copies at twice the constant rate of the other machine.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If two copying machines work simultaneously at their respective constant rates, how many copies do they produce in 5 minutes?(1) One of the machines produces copies at the constant rate of 250 copies per minute.(2) One of the machines produces copies at twice the constant rate of the other machine.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two copying machines work simultaneously at their respective constant rates, how many copies do they produce in 5 minutes?(1) One of the machines produces copies at the constant rate of 250 copies per minute.(2) One of the machines produces copies at twice the constant rate of the other machine.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer?.
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