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If Susan takes 9 seconds to run y yards, how many minutes

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If Susan takes 9 seconds to run y yards, how many minutes [#permalink] New post 06 Sep 2013, 02:39
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Question Stats:

67% (01:57) correct 33% (01:00) wrong based on 86 sessions
If Susan takes 9 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?

A)\frac{xy}{9}

B)\frac{9x}{60y}

C)\frac{60xy}{9}

D)\frac{xy}{540}

E)\frac{540x}{y}
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Re: If Susan takes 9 seconds to run y yards, how many minutes [#permalink] New post 06 Sep 2013, 02:44
Expert's post
caro2789 wrote:
If Susan takes 9 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?

A)\frac{xy}{9}

B)\frac{9x}{60y}

C)\frac{60xy}{9}

D)\frac{xy}{540}

E)\frac{540x}{y}


Rate*Time=Distance.

Since, Susan takes 9 seconds to run y yards, then her rate is Rate=\frac{Distance}{Time}=\frac{y}{9} yards per second.

To run x yards at this rate she'll need Time=\frac{Distance}{Rate}=\frac{x}{(\frac{y}{9})}=\frac{9x}{y} seconds, which is \frac{9x}{60y} minutes.

Answer: B.

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Re: If Susan takes 9 seconds to run y yards, how many minutes [#permalink] New post 09 Sep 2013, 08:27
Susan runs y yards in 9 seconds which means her rate over that particular distance is: r = y/9

We're told to look for how long it will take her to run x yards at the same rate (i.e. r=y/9)

Time taken:
t = d/r
t = x/r
t = x/(y/9)
t = 9x/y
This gives us the time in seconds but we need to multiply by 60 (seconds) to get the time in minutes.

t = 9x/60y

I had a bit of trouble conceptualizing this problem at first, specifically why we would find the time of the new distance (in minutes) by dividing by the old rate. Well, I guess it was a silly problem to be caught up on. All we want to know is how long (t) it will take for x yards to be covered at the same rate we determined to be (y/9) Then, we just had to multiply by 60 seconds to get y in terms of minutes. I guess the final answer tripped me up because of the way it multiplied out (in other words, if t = d/r then why is d here equal to 9 seconds*x distance.) I'm not sure what I can do to help me better understand these kinds of problems. :?

ANSWER: b.) 9x/60y

P.S. Bunuel, I believe you got the correct answer (it's the same one I got) but you marked down the incorrect answer choice.

Cheers! :-D
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Re: If Susan takes 9 seconds to run y yards, how many minutes [#permalink] New post 09 Sep 2013, 09:19
caro2789 wrote:
If Susan takes 9 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?

A)\frac{xy}{9}

B)\frac{9x}{60y}

C)\frac{60xy}{9}

D)\frac{xy}{540}

E)\frac{540x}{y}





since the question is asking for the time in minutes we should first convert 9 seconds into minutes to make things easier:

9 sec x \frac{1 min}{60} sec= \frac{9}{60}min


Rate x Time = Dist.

r x \frac{9}{60} = Y

r = \frac{60Y}{9}



use the same rate as above:

Rate x Time = Dist.

\frac{60Y}{9} x t = X

t = \frac{9X}{60Y}
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Re: If Susan takes 9 seconds to run y yards, how many minutes [#permalink] New post 10 Sep 2013, 23:29
If y = 3, and x = 3

then 9 seconds = 3 yards

How many minutes is 3 yards?

Convert seconds to minutes; 9 seconds = 9/60 minutes

Only answer B matches

t1000
Re: If Susan takes 9 seconds to run y yards, how many minutes   [#permalink] 10 Sep 2013, 23:29
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