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If Rebeca drives to work at x mph she will be one minute late, but if she drives at y mph she will be one minute early. How far (in miles) does Rebeca drive to work?
(1) x and y differ by seven miles per hour.
(2) y is 11% greater than x.
(2) y is 11% greater than x.
- 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?
Verified Answer
If Rebeca drives to work at x mph she will be one minute late, but if ...
The given problem involves determining the distance Rebeca drives to work based on her driving speed.
Let's analyze each statement separately:
Statement (1): x and y differ by seven miles per hour.
This statement provides the difference in speeds between x and y, but it doesn't provide any specific information about their values or the relationship between them. We cannot determine the distance based on this statement alone.
Statement (2): y is 11% greater than x.
This statement gives us a specific relationship between x and y, stating that y is 11% greater than x. However, without knowing the actual values of x or y, we cannot determine the distance Rebeca drives.
Considering both statements together:
When we combine the information from both statements, we can deduce some additional information. Let's say x represents Rebeca's driving speed in miles per hour. From statement (1), we can infer that y is x + 7 mph. Furthermore, statement (2) tells us that y is 11% greater than x. Mathematically, this can be expressed as y = x + 0.11x = 1.11x.
Now, we can set up equations based on the given time differences:
Equation 1: Distance / x = Time (One minute late)
Equation 2: Distance / y = Time (One minute early)
Equation 2: Distance / y = Time (One minute early)
Since the distance remains the same in both equations, we can equate them:
Distance / x = Distance / y
Cross-multiplying, we get:
Distance * y = Distance * x
Since y = 1.11x (from statement 2), we can substitute it into the equation:
Distance * 1.11x = Distance * x
Dividing both sides by Distance and canceling out the common factor of Distance, we have:
1.11x = x
Simplifying further, we get:
0.11x = 0
This equation implies that x must be 0, which doesn't make sense in the context of the problem. Therefore, this scenario is not possible.
Hence, the combination of both statements (1) and (2) together is not sufficient to determine the distance Rebeca drives to work. Therefore, the answer is (E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
Most Upvoted Answer
If Rebeca drives to work at x mph she will be one minute late, but if ...
The given problem involves determining the distance Rebeca drives to work based on her driving speed.
Let's analyze each statement separately:
Statement (1): x and y differ by seven miles per hour.
This statement provides the difference in speeds between x and y, but it doesn't provide any specific information about their values or the relationship between them. We cannot determine the distance based on this statement alone.
Statement (2): y is 11% greater than x.
This statement gives us a specific relationship between x and y, stating that y is 11% greater than x. However, without knowing the actual values of x or y, we cannot determine the distance Rebeca drives.
Considering both statements together:
When we combine the information from both statements, we can deduce some additional information. Let's say x represents Rebeca's driving speed in miles per hour. From statement (1), we can infer that y is x + 7 mph. Furthermore, statement (2) tells us that y is 11% greater than x. Mathematically, this can be expressed as y = x + 0.11x = 1.11x.
Now, we can set up equations based on the given time differences:
Equation 1: Distance / x = Time (One minute late)
Equation 2: Distance / y = Time (One minute early)
Equation 2: Distance / y = Time (One minute early)
Since the distance remains the same in both equations, we can equate them:
Distance / x = Distance / y
Cross-multiplying, we get:
Distance * y = Distance * x
Since y = 1.11x (from statement 2), we can substitute it into the equation:
Distance * 1.11x = Distance * x
Dividing both sides by Distance and canceling out the common factor of Distance, we have:
1.11x = x
Simplifying further, we get:
0.11x = 0
This equation implies that x must be 0, which doesn't make sense in the context of the problem. Therefore, this scenario is not possible.
Hence, the combination of both statements (1) and (2) together is not sufficient to determine the distance Rebeca drives to work. 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 Rebeca drives to work at x mph she will be one minute late, but if she drives at y mph she will be one minute early. How far (in miles) does Rebeca drive to work?(1) x and y differ by seven miles per hour.(2) y is 11% greater than x.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 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If Rebeca drives to work at x mph she will be one minute late, but if she drives at y mph she will be one minute early. How far (in miles) does Rebeca drive to work?(1) x and y differ by seven miles per hour.(2) y is 11% greater than x.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 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If Rebeca drives to work at x mph she will be one minute late, but if she drives at y mph she will be one minute early. How far (in miles) does Rebeca drive to work?(1) x and y differ by seven miles per hour.(2) y is 11% greater than x.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?.
If Rebeca drives to work at x mph she will be one minute late, but if she drives at y mph she will be one minute early. How far (in miles) does Rebeca drive to work?(1) x and y differ by seven miles per hour.(2) y is 11% greater than x.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 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If Rebeca drives to work at x mph she will be one minute late, but if she drives at y mph she will be one minute early. How far (in miles) does Rebeca drive to work?(1) x and y differ by seven miles per hour.(2) y is 11% greater than x.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 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If Rebeca drives to work at x mph she will be one minute late, but if she drives at y mph she will be one minute early. How far (in miles) does Rebeca drive to work?(1) x and y differ by seven miles per hour.(2) y is 11% greater than x.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?.
Solutions for If Rebeca drives to work at x mph she will be one minute late, but if she drives at y mph she will be one minute early. How far (in miles) does Rebeca drive to work?(1) x and y differ by seven miles per hour.(2) y is 11% greater than x.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? in English & in Hindi are available as part of our courses for GMAT.
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Here you can find the meaning of If Rebeca drives to work at x mph she will be one minute late, but if she drives at y mph she will be one minute early. How far (in miles) does Rebeca drive to work?(1) x and y differ by seven miles per hour.(2) y is 11% greater than x.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? defined & explained in the simplest way possible. Besides giving the explanation of
If Rebeca drives to work at x mph she will be one minute late, but if she drives at y mph she will be one minute early. How far (in miles) does Rebeca drive to work?(1) x and y differ by seven miles per hour.(2) y is 11% greater than x.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?, a detailed solution for If Rebeca drives to work at x mph she will be one minute late, but if she drives at y mph she will be one minute early. How far (in miles) does Rebeca drive to work?(1) x and y differ by seven miles per hour.(2) y is 11% greater than x.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? has been provided alongside types of If Rebeca drives to work at x mph she will be one minute late, but if she drives at y mph she will be one minute early. How far (in miles) does Rebeca drive to work?(1) x and y differ by seven miles per hour.(2) y is 11% greater than x.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? theory, EduRev gives you an
ample number of questions to practice If Rebeca drives to work at x mph she will be one minute late, but if she drives at y mph she will be one minute early. How far (in miles) does Rebeca drive to work?(1) x and y differ by seven miles per hour.(2) y is 11% greater than x.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? tests, examples and also practice GMAT tests.
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