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# How many minutes does it take John to type y words if he

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How many minutes does it take John to type y words if he [#permalink]

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03 Sep 2012, 05:56
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How many minutes does it take John to type y words if he types at the rate of x words per minute?

(A) x/y
(B) y/x
(C) xy
(D) 60x/y
(E) y/(60x)

Practice Questions
Question: 34
Page: 156
Difficulty: 550
[Reveal] Spoiler: OA

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Re: How many minutes does it take John to type y words if he [#permalink]

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03 Sep 2012, 05:57
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SOLUTION

How many minutes does it take John to type y words if he types at the rate of x words per minute?

(A) x/y
(B) y/x
(C) xy
(D) 60x/y
(E) y/(60x)

time*rate=job --> time*x=y --> time=y/x.

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Re: How many minutes does it take John to type y words if he [#permalink]

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03 Sep 2012, 06:02
2
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John can type x words in 1 min.
So he can type 1 word in 1/x min
Hence he should type y words in y(1/x) mins
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Re: How many minutes does it take John to type y words if he [#permalink]

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03 Sep 2012, 06:20
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If one isn't that good with variables, one can just plug in some numbers, where the answer is easy.

Like 60 words per minute and how long does it take to write 120 words. Easy to see that the solution is 120/60=2 minutes. Now going back to variables: y/x.
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Re: How many minutes does it take John to type y words if he [#permalink]

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03 Sep 2012, 07:55
x words ------------------- 1 min (1)
y words ------------------- y/x min (2)

one approach which I generally use to verify such kind of problem is that (2) should be same as (1) if everything is cross-multiplied.
Here in (2), right hand side denominator x is multiplied by left hand side y

y*x ------------------------ y (3)

then y is cancelled out from both sides, so what remains is (1)

x --------------------------- 1
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Re: How many minutes does it take John to type y words if he [#permalink]

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07 Sep 2012, 03:45
SOLUTION

How many minutes does it take John to type y words if he types at the rate of x words per minute?

(A) x/y
(B) y/x
(C) xy
(D) 60x/y
(E) y/(60x)

time*rate=job --> time*x=y --> time=y/x.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
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Re: How many minutes does it take John to type y words if he [#permalink]

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21 Sep 2012, 10:20
Ratextime=work ===> X x t = y ==> t = y/x

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Re: How many minutes does it take John to type y words if he [#permalink]

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15 Nov 2012, 03:21
$$\frac{x}{min}(t)=y words$$
$$t=\frac{y}{x}min$$
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Re: How many minutes does it take John to type y words if he [#permalink]

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20 Feb 2014, 13:44
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Re: How many minutes does it take John to type y words if he [#permalink]

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14 Mar 2014, 02:10
x words take 1 Min
1 word will take $$1 * \frac{1}{x} = \frac{1}{x}$$ minutes

For y words, time required
= $$y. \frac{1}{x} = \frac{y}{x}$$

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Re: How many minutes does it take John to type y words if he [#permalink]

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10 Sep 2014, 03:51
Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

How many minutes does it take John to type y words if he types at the rate of x words per minute?

(A) x/y
(B) y/x
(C) xy
(D) 60x/y
(E) y/(60x)

Practice Questions
Question: 34
Page: 156
Difficulty: 550

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rate of x word per minute = 1/x.

for y word .... y*(1/x)= y/x
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Re: How many minutes does it take John to type y words if he [#permalink]

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07 Oct 2015, 17:29
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: How many minutes does it take John to type y words if he [#permalink]

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25 May 2016, 09:35
Bunuel wrote:
How many minutes does it take John to type y words if he types at the rate of x words per minute?

(A) x/y
(B) y/x
(C) xy
(D) 60x/y
(E) y/(60x)

This problem is testing us on our knowledge of variables in a "work" question. Ultimately, we are solving for time. Since rate x time = work, we know that time = work/rate.

We are given that John types at a rate of x words per minute; thus, his rate is:

x/1 = x

We are asked for the number of minutes it will take John to type y words. We can solve, using the formula for time.

time = work/rate

time = y/x

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Re: How many minutes does it take John to type y words if he   [#permalink] 25 May 2016, 09:35
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