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Franny can type 80 words per minute and Matt can type 60 words per

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Franny can type 80 words per minute and Matt can type 60 words per [#permalink]

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Franny can type 80 words per minute and Matt 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 Matt must type?

A. 2
B. 5/6
C. 11/12
D. 11/9
E. 35/9
[Reveal] Spoiler: OA

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

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New post 05 May 2017, 06:11
Franny's 1m = 80 w => 1 hr = 4800
Matt's 1m=60W => 1 hr = 3600

Given for max. of 2 hrs and to find least Matt's time.. we first need to start with Franny as in 2 hrs she can complete the more than half of the required job

2hr Franny's work = 9600

Remaining amount (14000-9600=4400) needs to be completed by Matt

hr -- words
1---3600
X--4400

Upon simplification, x=44/36=11/9 hrs
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Re: Franny can type 80 words per minute and Matt can type 60 words per [#permalink]

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Bunuel wrote:
Franny can type 80 words per minute and Matt 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 Matt must type?

A. 2
B. 5/6
C. 11/12
D. 11/9
E. 35/9


Franny's efficiency is 80 words per minute = 4800 words/Hr
Matt's efficiency is 60 words per minute = 3600 words/Hr

Fanny completes 9600 words in 2 hours and is left with 4400 words for Matt to complete..

So, Matt will complete that in 4400/3600 = 11/9 Hours..

Thus, answer must be (D) 11/9..

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

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New post 07 May 2017, 09:28
Franny's efficiency = 80 words per minute = 4800 words/Hr
Matt's efficiency = 60 words per minute = 3600 words/Hr

Fanny completes 9600 words in 2 hours and is left with 4400 words for Matt to complete..

Matt will complete that in 4400/3600 = 11/9 Hours...ans D
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Re: Franny can type 80 words per minute and Matt can type 60 words per [#permalink]

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Bunuel wrote:
Franny can type 80 words per minute and Matt 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 Matt must type?

A. 2
B. 5/6
C. 11/12
D. 11/9
E. 35/9


We are given that Franny can type 80 words per minute or 80 x 60 = 4800 words per hour. If she types for 2 hours (the maximum she can type), then she will have 4800 x 2 = 9600 words. Thus, there are 14,000 - 9600 = 4,400 words left for Matt to type.

Since Matt can type at a rate of 60 words per minute, or 60 x 60 = 3600 words per hour, the time he will have to spend typing is:

4,400/3,600 = 44/36 = 11/9 hours

Answer: D
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Re: Franny can type 80 words per minute and Matt can type 60 words per [#permalink]

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New post 13 May 2017, 18:45
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Hi All,

The answer choices to this question provide a really big 'shortcut' that can help you to cut down on the amount of math that is necessary to answer this question.

To start, we're told that Franny and Matt can each type up to 2 hours, but we're asked for the LEAST amount of time (in hours) that Matt would need to type. Thus, the answer is almost certainly going to be LESS than 2. Eliminate Answer A and Answer E (this answer is almost 4 hours, which is simply not an option).

Given Franny's rate (80 words/minute), we know that in 2 hours she would type (2)(60)(80) = 9600 words. This leaves 14,000 - 9,600 = 4,400 words for Matt.

Given Mat's rate (60 words/minute), the 4400 words would take 4400/60 = OVER 60 minutes. You don't need to calculate the exact value - it's enough to note that Matt would need to spend MORE than 1 hour typing. Answers B and C are LESS than 1 hour, so there's only one answer that makes sense...

Final Answer:
[Reveal] Spoiler:
D


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Re: Franny can type 80 words per minute and Matt can type 60 words per   [#permalink] 13 May 2017, 18:45
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