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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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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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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





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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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).
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Re: If Juan takes 11 seconds to run y yards, how many seconds [#permalink] New post 23 Oct 2014, 02:02
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y yards-------------- 11 seconds
x yards ------------- ? seconds

(11*x)/y seconds
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If Juan takes 11 seconds to run y yards, how many seconds [#permalink] New post 15 Jan 2015, 04:58
This was an easy one, but I do have a questions concerning rates.

When is it that we HAVE to find the rate at which 1 unit of work is done, in order to calculate another rate?

I hope my question is understandable...

Thank you,
Natalia
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Re: If Juan takes 11 seconds to run y yards, how many seconds [#permalink] New post 14 Feb 2015, 09:47
pacifist85 wrote:
This was an easy one, but I do have a questions concerning rates.

When is it that we HAVE to find the rate at which 1 unit of work is done, in order to calculate another rate?

I hope my question is understandable...

Thank you,
Natalia


If you construct a table which is like the one given below it will be clear to you what you have been given and what you need to find out what is asked. For this question,
R * T = D
? * 11 = y

and we need to find out

R * T = D
? * ? = x
you need the rate here to find out the time.That as specified by the question is the same as the first case. So R=y/11.
So time=x/(y/11)=11x/y.

Kudos please if this helped anyhow.
Re: If Juan takes 11 seconds to run y yards, how many seconds   [#permalink] 14 Feb 2015, 09:47
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