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How many minutes does it take John to type y words if he [#permalink] New post 03 Sep 2012, 05:56
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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)

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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] New post 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.

Answer: B.
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COLLECTION OF QUESTIONS:
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. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!, 11 New DS set. NEW!!!


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Re: How many minutes does it take John to type y words if he [#permalink] New post 03 Sep 2012, 06:02
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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, 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] New post 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] New post 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.

Answer: B.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders

COLLECTION OF QUESTIONS:
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. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!, 11 New DS set. NEW!!!


What are GMAT Club Tests?
25 extra-hard Quant Tests

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