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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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22 Sep 2016, 04:15
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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

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Posts: 592
Re: A comet travels 12,000/y meters in 600/x seconds. What is the speed of  [#permalink]

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22 Sep 2016, 06:04
4
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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22 Sep 2016, 06:56
1
$$\frac{12,000}{y}meters$$= $$\frac{12000}{(1000 * y)}$$ 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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23 Sep 2016, 04:45
2
Top Contributor
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

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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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23 Sep 2016, 07:43
2
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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Joined: 26 Jan 2016
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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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23 Sep 2016, 11:51
1
does plugging in numbers work for this?
Intern
Joined: 18 Sep 2016
Posts: 49
A comet travels 12,000/y meters in 600/x seconds. What is the speed of  [#permalink]

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23 Sep 2016, 12:27
1
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 ====> $$72*\frac{x}{y}$$ $$\frac{Km}{h}$$

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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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23 Sep 2016, 18:53
2
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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19 Dec 2017, 13:37
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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, 13:37
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