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If the speed of x meters per second is equivalent to the

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If the speed of x meters per second is equivalent to the [#permalink] New post 12 Oct 2005, 00:42
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If the speed of x meters per second is equivalent to the speed of y kilometers per hour, what is y in terms of x?

A. 5x/18
B. 6x/5
C. 18x/5
D. 60x
E. 3,600,000x

Quite simple eh? I got lost on this one!
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 [#permalink] New post 12 Oct 2005, 02:39
X is m/s... so convert this to km/h

X=m/s |m to km, and s to minutes and then hours
m*1000/60*60*s |simplify
m*10/36*s
m*5/19*s |resubstitute X for m/s

Y=5x/18
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 [#permalink] New post 12 Oct 2005, 05:56
I find it easier to plug in numbers for these types of problems. Just a suggestion.

For instance. I made x=10m/s. I did the appropriate conversion, y=36km/hr. I plugged in x to the answer choices to see if any equaled 36. I got C.

Note: when using the "picking numbers" method, it is advised not to use 1. i try to use a larger, yet still easy, number to use, like 5 or 10.
I hope this helps.
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 [#permalink] New post 12 Oct 2005, 06:00
x meters - 1 second == y km - 1 hour

y * 1000 = 1000y m
1 hour = 60*60 = 3600 seconds

So y km/h = 1000y/3600 m/s = 10y/36 = 5y/18 m/s == x m/s

y = 18x/5 m/s
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 [#permalink] New post 12 Oct 2005, 06:13
C for me as well

X m * 1 km * 60sec * 60min
---------------------------------- =
ssec*1000m*1min * 1hr


3600X km
----------- = 18x/5 km/hr
1000 hr
  [#permalink] 12 Oct 2005, 06:13
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