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03 May 2016, 06:52
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C
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Difficulty:
45%
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Question Stats:
67% (01:50) correct
33%
(02:08)
wrong
based on 456
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If Vivica typed a document at an average rate that was greater than 90 words per minute, did it take her less than one hour to type this document?
(1) Vivica typed the first three-quarters of the words in the document in 42 minutes.
(2) Vivica's rate of words per minute was constant for the duration of the document.
(1) Vivica typed the first three-quarters of the words in the document in 42 minutes.
(2) Vivica's rate of words per minute was constant for the duration of the document.
03 May 2016, 07:01
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happy1992
Similar question to practice: if-paula-drove-the-distance-from-her-home-to-her-college-at-135196.html
28 May 2016, 11:50
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Interesting question. My take:
1) First of all, we're going to use the following relationship: \(Rate = \frac{Amount}{Time}\). Vivica writes \(\frac{3}{4}\) of the document in 42 minutes. This would indicate that, IF Vivica was typing at a uniform rate, her rate would be \(\frac{3}{4}\) * \(\frac{1}{42}\) which simplifies to \(\frac{1}{56}\).
2) Thus, if Vivica typed at a uniform rate, she would've completed the document in 56 minutes. However, we are only told that her average rate is above 90 words/minute, so technically she could've stayed above this average for the first 42 minutes and then dropped far below this average in the remaining minutes of her writing, which could've brought the total time consumed above 60 minutes (1 hour). Therefore, Statement 2 is vital to conclude that she is actually writing at a uniform rate and the correct answer choice is thus C.
1) First of all, we're going to use the following relationship: \(Rate = \frac{Amount}{Time}\). Vivica writes \(\frac{3}{4}\) of the document in 42 minutes. This would indicate that, IF Vivica was typing at a uniform rate, her rate would be \(\frac{3}{4}\) * \(\frac{1}{42}\) which simplifies to \(\frac{1}{56}\).
2) Thus, if Vivica typed at a uniform rate, she would've completed the document in 56 minutes. However, we are only told that her average rate is above 90 words/minute, so technically she could've stayed above this average for the first 42 minutes and then dropped far below this average in the remaining minutes of her writing, which could've brought the total time consumed above 60 minutes (1 hour). Therefore, Statement 2 is vital to conclude that she is actually writing at a uniform rate and the correct answer choice is thus C.
