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Franny can type 80 words per minute and Zooey can type 60 words per mi

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Joined: 02 Sep 2009
Posts: 49915
Franny can type 80 words per minute and Zooey can type 60 words per mi  [#permalink]

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New post 08 Jan 2018, 02:07
1
1
00:00
A
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D
E

Difficulty:

  65% (hard)

Question Stats:

53% (02:20) correct 47% (02:23) wrong based on 69 sessions

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Franny can type 80 words per minute and Zooey can type 60 words per minute. If the two together must type up a 14,000-word paper and each person can type for at most 2 hours, what is the least amount of time, in hours, that Zooey must type?

A. 100
B. 220/3
C. 2
D. 11/9
E. 5/3

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Re: Franny can type 80 words per minute and Zooey can type 60 words per mi  [#permalink]

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New post 08 Jan 2018, 02:20
1
D
Franny in an hour can type 80*60=4800 words
Zooey in an hour can type 60*60=3600 words
Together they can type 8400 words in an hour.
Let’s say franny works for another hour to minimise the time Zooey works. So total typed words =8400+4800=13200. Remaining words to be typed =800. Time taken by Zooey for this 800 words =800/3600 hours. So total time taken by Zooey = 1+800/3600= 11/9.


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Re: Franny can type 80 words per minute and Zooey can type 60 words per mi  [#permalink]

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New post 08 Jan 2018, 06:25
4
Ans must be D 11/9 or 1.22 Hours.

F= 80 W/min
Z= 60 W/min

F type for 2 hours = 2 X 60 X 80 =9600 Words
Remaining Work = 14000-9600 = 4400 Words

So Z will take time = 4400/60 = 73.33 minutes or 1 hour 13 min or 1.22 hr.
Which is D 11/9 hours :-)
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Re: Franny can type 80 words per minute and Zooey can type 60 words per mi  [#permalink]

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New post 08 Jan 2018, 07:32
I made the classical jumpy mistake 220/3 minutes. Pls take Ur time to read the question. Answer asked is in hours.

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Re: Franny can type 80 words per minute and Zooey can type 60 words per mi  [#permalink]

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New post 08 Jan 2018, 07:34
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Hello this question should be in PS .

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Re: Franny can type 80 words per minute and Zooey can type 60 words per mi  [#permalink]

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New post 08 Jan 2018, 07:36
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Re: Franny can type 80 words per minute and Zooey can type 60 words per mi &nbs [#permalink] 08 Jan 2018, 07:36
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Franny can type 80 words per minute and Zooey can type 60 words per mi

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