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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 types at the rate of x words per minute?

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

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

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New post 03 Sep 2012, 05:02
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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
Answer : Choice B
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Re: How many minutes does it take John to type y words if he [#permalink]

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New post 03 Sep 2012, 05:20
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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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New post 03 Sep 2012, 06:55
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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New post 21 Sep 2012, 09:20
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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New post 15 Nov 2012, 02:21
\(\frac{x}{min}(t)=y words\)
\(t=\frac{y}{x}min\)
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Re: How many minutes does it take John to type y words if he [#permalink]

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New post 14 Mar 2014, 01:10
x words take 1 Min
1 word will take \(1 * \frac{1}{x} = \frac{1}{x}\) minutes

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

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

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New post 10 Sep 2014, 02:51
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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New post 25 May 2016, 08:35
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

The answer is B.
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Re: How many minutes does it take John to type y words if he   [#permalink] 25 May 2016, 08:35
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