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Directions: Compare Quantity A and Quantity B, using additional information centered bove the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.
Q. Machine R, working alone at a constant rate, produces x units of a product in 30 minutes, and machine S, working alone at a constant rate, produces x units of the product in 48 minutes, where x is a positive integer.
Quantity A: The number of units of the product that machine R, working alone at its constant rate, produces in 3 hours
Quantity B: The number of units of the product that machine S, working alone at its constant rate, produces in 4 hours
  • a)
    Quantity A is greater.
  • b)
    Quantity B is greater.
  • c)
    The two quantities are equal.
  • d)
    The relationship cannot be determined from the information given.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
In this question you are given that machine R, working alone at its constant rate, produces x units of a product in 30 minutes. Since it is easy to see that 3 hours is 6 times 30 minutes, you can conclude that Quantity A is 6x.
You can compare 6x with Quantity B in two ways.
One: In the additional information centered above the quantities, you are given that machine S, working alone at its constant rate, produces x units of the product in 48 minutes, so you can conclude that machine S can produce 6x units of the product in (6)(48) minutes, or 4.8 hours. So in 4 hours, machine S produces less than 6x units, and Quantity B is less than 6x.
Two: First, convert 48 minutes to ⅘ hour, then find the number of 48-minute periods there are in 4 hours by computing
Thus, Quantity B is 5x.
Either way, Quantity A is greater than Quantity B, and the correct answer is Choice A.
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Most Upvoted Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
In this question you are given that machine R, working alone at its constant rate, produces x units of a product in 30 minutes. Since it is easy to see that 3 hours is 6 times 30 minutes, you can conclude that Quantity A is 6x.
You can compare 6x with Quantity B in two ways.
One: In the additional information centered above the quantities, you are given that machine S, working alone at its constant rate, produces x units of the product in 48 minutes, so you can conclude that machine S can produce 6x units of the product in (6)(48) minutes, or 4.8 hours. So in 4 hours, machine S produces less than 6x units, and Quantity B is less than 6x.
Two: First, convert 48 minutes to ⅘ hour, then find the number of 48-minute periods there are in 4 hours by computing
Thus, Quantity B is 5x.
Either way, Quantity A is greater than Quantity B, and the correct answer is Choice A.
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Community Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
Quantity A: The number of units of the product that machine R, working alone at its constant rate, produces in 3 hours.

Quantity B: The number of units of the product that machine S, working alone at its constant rate, produces in 4 hours.

To compare Quantity A and Quantity B, we need to calculate the number of units produced by each machine in the given time periods.

Calculating Quantity A:
Machine R produces x units of the product in 30 minutes. Therefore, in 1 hour (60 minutes), it would produce 2x units (since 60/30 = 2). In 3 hours, it would produce 6x units (since 3 * 2x = 6x).
So, Quantity A is 6x units.

Calculating Quantity B:
Machine S produces x units of the product in 48 minutes. Therefore, in 1 hour (60 minutes), it would produce (60/48) * x units. Simplifying this, we get (5/4) * x units. In 4 hours, it would produce 4 * (5/4) * x units. Simplifying this, we get 5x units.
So, Quantity B is 5x units.

Comparing Quantity A and Quantity B:
Quantity A = 6x units
Quantity B = 5x units

Since 6x is greater than 5x for any positive value of x, we can conclude that Quantity A is greater than Quantity B. Therefore, the correct answer is option 'A' - Quantity A is greater.

Summary:
- Quantity A represents the number of units produced by machine R in 3 hours, and Quantity B represents the number of units produced by machine S in 4 hours.
- By calculating the number of units produced in the given time periods, we find that Quantity A is 6x units and Quantity B is 5x units.
- Since 6x is greater than 5x for any positive value of x, we can conclude that Quantity A is greater than Quantity B.
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Directions: Compare Quantity A and Quantity B, using additional information centered bove the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.Q. Machine R, working alone at a constant rate, produces x units of a product in 30 minutes, and machine S, working alone at a constant rate, produces x units of the product in 48 minutes, where x is a positive integer.Quantity A: The number of units of the product that machine R, working alone at its constant rate, produces in 3 hoursQuantity B: The number of units of the product that machine S, working alone at its constant rate, produces in 4 hoursa)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer? for GRE 2025 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Compare Quantity A and Quantity B, using additional information centered bove the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.Q. Machine R, working alone at a constant rate, produces x units of a product in 30 minutes, and machine S, working alone at a constant rate, produces x units of the product in 48 minutes, where x is a positive integer.Quantity A: The number of units of the product that machine R, working alone at its constant rate, produces in 3 hoursQuantity B: The number of units of the product that machine S, working alone at its constant rate, produces in 4 hoursa)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GRE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Compare Quantity A and Quantity B, using additional information centered bove the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.Q. Machine R, working alone at a constant rate, produces x units of a product in 30 minutes, and machine S, working alone at a constant rate, produces x units of the product in 48 minutes, where x is a positive integer.Quantity A: The number of units of the product that machine R, working alone at its constant rate, produces in 3 hoursQuantity B: The number of units of the product that machine S, working alone at its constant rate, produces in 4 hoursa)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer?.
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Machine R, working alone at a constant rate, produces x units of a product in 30 minutes, and machine S, working alone at a constant rate, produces x units of the product in 48 minutes, where x is a positive integer.Quantity A: The number of units of the product that machine R, working alone at its constant rate, produces in 3 hoursQuantity B: The number of units of the product that machine S, working alone at its constant rate, produces in 4 hoursa)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Directions: Compare Quantity A and Quantity B, using additional information centered bove the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.Q. Machine R, working alone at a constant rate, produces x units of a product in 30 minutes, and machine S, working alone at a constant rate, produces x units of the product in 48 minutes, where x is a positive integer.Quantity A: The number of units of the product that machine R, working alone at its constant rate, produces in 3 hoursQuantity B: The number of units of the product that machine S, working alone at its constant rate, produces in 4 hoursa)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Directions: Compare Quantity A and Quantity B, using additional information centered bove the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.Q. Machine R, working alone at a constant rate, produces x units of a product in 30 minutes, and machine S, working alone at a constant rate, produces x units of the product in 48 minutes, where x is a positive integer.Quantity A: The number of units of the product that machine R, working alone at its constant rate, produces in 3 hoursQuantity B: The number of units of the product that machine S, working alone at its constant rate, produces in 4 hoursa)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Compare Quantity A and Quantity B, using additional information centered bove the two quantities if such information is given. Select one of the following four answer choices. 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