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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] New post 03 Sep 2012, 04:56
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00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

78% (01:26) correct 22% (00:35) wrong based on 368 sessions
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
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Re: How many minutes does it take John to type y words if he [#permalink] New post 03 Sep 2012, 04:57
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Re: How many minutes does it take John to type y words if he [#permalink] 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] 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] 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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Re: How many minutes does it take John to type y words if he [#permalink] New post 07 Sep 2012, 02:45
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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.

Answer: B.

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PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: How many minutes does it take John to type y words if he [#permalink] 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] 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] New post 20 Feb 2014, 12:44
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Re: How many minutes does it take John to type y words if he [#permalink] 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] 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
Re: How many minutes does it take John to type y words if he   [#permalink] 10 Sep 2014, 02:51
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