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# If Vivica typed a document at an average rate

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Intern
Joined: 17 Apr 2016
Posts: 19
If Vivica typed a document at an average rate  [#permalink]

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03 May 2016, 06:52
1
00:00

Difficulty:

55% (hard)

Question Stats:

62% (01:45) correct 38% (01:53) wrong based on 231 sessions

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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 Örst three-quarters of the words in the
document in 42 minutes.
(2) Vivicaís rate of words per minute was constant for the
Duration of the document.
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Joined: 02 Sep 2009
Posts: 58452
Re: If Vivica typed a document at an average rate  [#permalink]

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03 May 2016, 07:01
happy1992 wrote:
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 Örst three-quarters of the words in the
document in 42 minutes.
(2) Vivicaís rate of words per minute was constant for the
Duration of the document.

Similar question to practice: if-paula-drove-the-distance-from-her-home-to-her-college-at-135196.html
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Posts: 28
If Vivica typed a document at an average rate  [#permalink]

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28 May 2016, 11:50
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.
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Re: If Vivica typed a document at an average rate  [#permalink]

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24 Nov 2016, 23:19
2
happy1992 wrote:
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 Örst three-quarters of the words in the
document in 42 minutes.
(2) Vivicaís rate of words per minute was constant for the
Duration of the document.

Solution:

Givent that, average speed is = Vav > 90 words/min
and time < 1 hour or t < 60 min

1) 3/4 of document is done in 42 min
means 1/4 remaining.
if we assume the work will finish in 60 minutes, then 3/4 of 60 =45 minutes : so 42 is less than 45
but we are not sure of speed of remaining 1/4 . Not sufficient

2) speed throughout is constant. NOT SUFFICIENT

Combining 1&2,
the speed for remaing 1/4 document :
3/4 ----- 42 min
1/4------ 42/3 = 14 min

total time it will take = 42 +14 =56 min, which is less than 60 min

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Re: If Vivica typed a document at an average rate  [#permalink]

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24 Mar 2018, 01:07
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Re: If Vivica typed a document at an average rate   [#permalink] 24 Mar 2018, 01:07
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