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

Question

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}

Bunuel · Accepted Answer

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. P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Please pay attention to the rule #3. Thank you.

WholeLottaLove · Answer

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

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

DelSingh · Answer

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}

tchang · Answer

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

JoostGrijsen · Answer

Solving these kinds of problems always causes trouble for me. Thats why i like to pick numbers.

Is it correct to do so as follows:

Let's say y equals 10 yards and x equals 100 yards. Which would mean that if those 10 yards are ran in 9 seconds, she runs 100 in 1,5. Then filling in this X and Y in the answer choices should result in 1,5 and if so that one is the correct answer.

9x/60y gives 900/600 which equals 1,5 so this is the right equation. Is this a correct way of solving this or did i get lucky?

PareshGmat · Answer

y yards in 9 seconds, so 1 yard in  \frac{9}{y}  seconds

x yards would take  \frac{9}{y} * x  seconds =  \frac{9x}{60y}  minutes

Answer = B

Bunuel · Answer

That's correct.

Note though, that for plug-in method it might happen that for some particular number(s) more than one option may give "correct" answer. In this case just pick some other numbers and check again these "correct" options only.

Hope it helps.

Bunuel · Answer

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vietnammba · Answer

The answer is B.
She runs x yards in 9x/y seconds =9x/60y minutes.

AliciaSierra · Answer

This question is asking Time in minutes.
Susan takes  9  seconds to run  Y  yards. So her speed is  \frac{Y}{9} yards per second.

Let us convert seconds to minutes.

Speed in minutes:  \frac{60Y}{9}  yards per minute

Time= \frac{Distance}{Speed}

Time   =  \frac{x}{60Y/9}  minutes  =  \frac{9x}{60Y}  minutes

Answer: B

PareshGmat · Answer

Answer = B =  \frac{9x}{60y}

y Yards >> Time taken = 9 seconds =  \frac{9}{60}  Minutes

1 Yard  = \frac{9}{60} * \frac{1}{y} = \frac{9}{60y}  Minutes

For x Yards, time required  = \frac{9}{60y} * x = \frac{9x}{60y}

akumar5 · Answer

Susan rate is y/9 yard/second =60y/9 yard/minute.

So to cover x yard , time =x/(60y/9)=9x/60y

Answer B

devmillenium2k · Answer

Susan runs x yards in 9x/y seconds 
Let’s convert this into minutes and we will get time=9x/60y minutes.
Answer B

Bunuel · Answer

Similar question to practice: if-juan-takes-11-seconds-to-run-y-yards-how-many-seconds-138731.html

gracie · Answer

9 seconds/y yards=(9/60 min)/y yards
rate=y/((9/60)=60y/9 yards per minute
x yards/(60y/9)=9x/60y minutes

wolves5 · Answer

Susan rate= y yds/ 9 seconds. How many minutes to run x yds at the same rate?

Convert yards/seconds into yards/ minutes. 
(Y yards / 9 seconds) * (60 seconds / 1 min) = 60y yards / 9 minutes. This is rate.

Distance = x yards. Use D=RT to find the time. 
X = (60y/9) (time) 
(X / 1)* (9/60y) = 9x/60y

Answer: B

JaibeerSingh · Answer

The answer is B.
She runs y yards in 9 seconds (or 9/60 minutes)
So, using the Unitary method, she runs 1 yard in (9/60y) Minutes.
She runs x yards = 9x/60y minutes.

guptarahul · Answer

USING..... 
Speed=Distance/ Time
Susan runs y yards in 9 seconds
As we know, 1 minutes = 60 seconds
So, Susan runs y yards in 9/60 minutes
Now, using speed formula we can find her speed that will be 9/60y
Time in minutes she will take to run  x  yards at the same rate will be
=  9x/60y minutes.

ScottTargetTestPrep · Answer

We are given that the rate of Susan is y/9 yards per second and we need to determine how many minutes it will take her to run x yards.

time = distance/rate

time = x/(y/9) = 9x/y seconds

Let’s convert 9x/y seconds to minutes:

9x/y seconds = (9x/y)/60 = 9x/(60y) minutes

Answer: B

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

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

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