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

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Math Expert
Joined: 02 Sep 2009
Posts: 50002
How many minutes does it take John to type y words if he  [#permalink]

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03 Sep 2012, 05:56
2
6
00:00

Difficulty:

5% (low)

Question Stats:

84% (00:38) correct 16% (00:50) wrong based on 1267 sessions

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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

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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
2
1
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
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
1
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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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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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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25 May 2016, 09:35
1
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]

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09 Oct 2017, 14:19
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