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A comet travels 12,000/y meters in 600/x seconds. What is the speed of

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A comet travels 12,000/y meters in 600/x seconds. What is the speed of [#permalink]

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A comet travels 12,000/y meters in 600/x seconds. What is the speed of the comet in kilometers per hour?

A. 20y/x
B. 20x/y
C. 72y/x
D. 72x/y
E. 20xy
[Reveal] Spoiler: OA

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Re: A comet travels 12,000/y meters in 600/x seconds. What is the speed of [#permalink]

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Bunuel wrote:
A comet travels 12,000/y meters in 600/x seconds. What is the speed of the comet in kilometers per hour?

A. 20y/x
B. 20x/y
C. 72y/x
D. 72x/y
E. 20xy


Given 12,000/y meters and Speed in 600/x seconds.

Now 1000 meters = 1km and 60 seconds = 1 min

Now 12,000/y => 12/y(1000) now to convert this into km we need to divide it by 1000...we get 12/y

Similarly 600/x => 600/x * 60 => 10/x min and now we need to convert this into hour 10/x * 60 => 1/6x ( since asked us to find in hours)

Now D = S*T

S = 12/y * 6x = 72x/y.

IMO option D.
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Re: A comet travels 12,000/y meters in 600/x seconds. What is the speed of [#permalink]

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New post 22 Sep 2016, 07:56
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\(\frac{12,000}{y}meters\)= \(\frac{12000}{(1000 * y)}\) km =\(\frac{12}{y}\)Km

\(\frac{600}{x}\)seconds =\(\frac{600}{(60*60*x)}\)Hours = \(\frac{1}{6x}\)Hours

\(Speed = \frac{Distance}{Time} = ( \frac{12}{y}) / ( \frac{1}{6x} )\) =\(\frac{(12*6*x)}{y} =\frac{72x}{y}\)

Ans D.
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A comet travels 12,000/y meters in 600/x seconds. What is the speed of [#permalink]

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Bunuel wrote:
A comet travels 12,000/y meters in 600/x seconds. What is the speed of the comet in kilometers per hour?

A. 20y/x
B. 20x/y
C. 72y/x
D. 72x/y
E. 20xy


Speed of the comet=\(\frac{12000*x}{y*600}\) meters per second=\(\frac{12000*x*3600}{y*600*1000}\) kilometers per hour=\(\frac{72x}{y}\)kilometers per hour

Correct Answer D
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Re: A comet travels 12,000/y meters in 600/x seconds. What is the speed of [#permalink]

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New post 23 Sep 2016, 08:43
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12,000/y meters = 12000/1000 y miles

600/x seconds = 600/(60*60)x hours

(12/y)/(1/6)x = 12*6x/y = 72 x/y

D
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Re: A comet travels 12,000/y meters in 600/x seconds. What is the speed of [#permalink]

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does plugging in numbers work for this?
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A comet travels 12,000/y meters in 600/x seconds. What is the speed of [#permalink]

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Bunuel wrote:
A comet travels 12,000/y meters in 600/x seconds. What is the speed of the comet in kilometers per hour?

A. 20y/x
B. 20x/y
C. 72y/x
D. 72x/y
E. 20xy



\(\frac{12000}{y}*\frac{m}{600*s}*x\)

divided by 1000 to express in Km and than multiplied by 3600 to express in h ====> \(72*\frac{x}{y}\) \(\frac{Km}{h}\)

answer D
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Re: A comet travels 12,000/y meters in 600/x seconds. What is the speed of [#permalink]

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New post 23 Sep 2016, 19:53
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joannaecohen wrote:
does plugging in numbers work for this?


In this case , converting meters and seconds to miles and hours plays main role. Plugging wont really help in here
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Re: A comet travels 12,000/y meters in 600/x seconds. What is the speed of [#permalink]

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Re: A comet travels 12,000/y meters in 600/x seconds. What is the speed of   [#permalink] 19 Dec 2017, 14:37
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