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If Juan takes 11 seconds to run y yards, how many seconds

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If Juan takes 11 seconds to run y yards, how many seconds [#permalink] New post 11 Sep 2012, 03:40
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If Juan takes 11 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?

(A) 11x/y
(B) 11y/x
(C) x/(11y)
(D) 11/(xy)
(E) xy/11

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Page: 157
Difficulty: 600
[Reveal] Spoiler: OA

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Re: If Juan takes 11 seconds to run y yards, how many seconds [#permalink] New post 11 Sep 2012, 03:40
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SOLUTION

If Juan takes 11 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?

(A) 11x/y
(B) 11y/x
(C) x/(11y)
(D) 11/(xy)
(E) xy/11

Rate*Time=Distance.

Since, Juan takes 11 seconds to run y yards, then his rate is Rate=\frac{Distance}{Time}=\frac{y}{11} yards per second.

To run x yards at this rate he'll need Time=\frac{Distance}{Rate}=\frac{x}{(\frac{y}{11})}=\frac{11x}{y}.

Answer: A.
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Re: If Juan takes 11 seconds to run y yards, how many seconds [#permalink] New post 11 Sep 2012, 08:32
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

If Juan takes 11 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?

(A) 11x/y
(B) 11y/x
(C) x/(11y)
(D) 11/(xy)
(E) xy/11





y yards ---------------------------- 11 secs (1)
1 yard ----------------------------- 11/y secs (2)
x yards ---------------------------- 11x/y secs (3)

To crosscheck, (3) can be made (1) by cross-multiplying both sides.

Hence, A
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Re: If Juan takes 11 seconds to run y yards, how many seconds [#permalink] New post 12 Sep 2012, 12:55
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Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

If Juan takes 11 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?

(A) 11x/y
(B) 11y/x
(C) x/(11y)
(D) 11/(xy)
(E) xy/11

Practice Questions
Question: 38
Page: 157
Difficulty: 600


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Since t = 11 seconds represents time, one can immediately eliminate answers C,D and E, because they don't have units of time.
(C) x/(ty) has units of 1/time
(D) t/(xy) has units of time/speed squared, which finally is time cubed/distance squared
(E) xy/t has units of speed squared/time, which finally is distance squared/time cubed

To choose between (A) and (B), we should keep in mind that time is distance/speed. Since the distance in our case is x, it should appear in the numerator.

Hence, Answer A.
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Re: If Juan takes 11 seconds to run y yards, how many seconds [#permalink] New post 14 Sep 2012, 04:41
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SOLUTION

If Juan takes 11 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?

(A) 11x/y
(B) 11y/x
(C) x/(11y)
(D) 11/(xy)
(E) xy/11

Rate*Time=Distance.

Since, Juan takes 11 seconds to run y yards, then his rate is Rate=\frac{Distance}{Time}=\frac{y}{11} yards per second.

To run x yards at this rate he'll need Time=\frac{Distance}{Rate}=\frac{x}{(\frac{y}{11})}=\frac{11x}{y}.

Answer: A.

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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. ,11 Mixed Questions, 12 Fresh Meat

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Re: If Juan takes 11 seconds to run y yards, how many seconds [#permalink] New post 14 Sep 2012, 23:47
y yard s for 11 second
x yards for 11x/y second
so answer is A
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If Juan takes 11 seconds to run Y yards, how many seconds wi [#permalink] New post 17 Oct 2012, 11:40
If Juan takes 11 seconds to run Y yards, how many seconds will it take him to run X yards at the same rate?

A) 11x/y
B) 11y/x
C) x/11y
D) 11/xy
E) xy/11

I'm having problems with this, can someone solve for this, and explain the concept, thank you!
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Re: If Juan takes 11 seconds to run Y yards, how many seconds wi [#permalink] New post 17 Oct 2012, 11:43
Expert's post
laythesmack23 wrote:
If Juan takes 11 seconds to run Y yards, how many seconds will it take him to run X yards at the same rate?

A) 11x/y
B) 11y/x
C) x/11y
D) 11/xy
E) xy/11

I'm having problems with this, can someone solve for this, and explain the concept, thank you!


Merging similar topics. Please refer to the solutions above.
_________________

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; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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. ,11 Mixed Questions, 12 Fresh Meat

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., 11 New DS set.


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

Get the best GMAT Prep Resources with GMAT Club Premium Membership

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Re: If Juan takes 11 seconds to run y yards, how many seconds [#permalink] New post 25 Jan 2014, 18:09
If you don't want to do fancy calculations you can just pick numbers...

y = 1
x = 2

And the questions re-phrased would be:

If Juan takes 11 seconds to run 1 yards, how many seconds will it take him to run 2 yards at the same rate?

It will take him 22 seconds to run 2 yards. Now just use those x and y values in the answers and find the one that equals 22 (which is B).
Re: If Juan takes 11 seconds to run y yards, how many seconds   [#permalink] 25 Jan 2014, 18:09
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