If the speed of \(X\) meters per second is equivalent to the speed of \(Y\) kilometers per hour, what is \(Y\) in terms of \(X\)? (1 kilometer=1000 meters)
A. \(\frac{5x}{18}\)
B. \(\frac{6x}{5}\)
C. \(\frac{18x}{5}\)
D. \(60x\)
E. \(3600000x\)
The OA is C
Source: GMAT Prep
If the speed of \(X\) meters per second is equivalent to the
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- Jay@ManhattanReview
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We have \(X\) meters per second = \(Y\) kilometers per hourswerve wrote:If the speed of \(X\) meters per second is equivalent to the speed of \(Y\) kilometers per hour, what is \(Y\) in terms of \(X\)? (1 kilometer=1000 meters)
A. \(\frac{5x}{18}\)
B. \(\frac{6x}{5}\)
C. \(\frac{18x}{5}\)
D. \(60x\)
E. \(3600000x\)
The OA is C
Source: GMAT Prep
=> \(X\) meters per second = \(Y\) * (1,000/3,600) meters per second
\(X\) = \(Y\) * (5/18)
\(Y\) = \(18X/5\)
The correct answer: C
Hope this helps!
-Jay
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There are 3,600 seconds in an hour and 1,000 meters in a kilometer. So, let's convert y kilometers/hour to meters/second:swerve wrote:If the speed of \(X\) meters per second is equivalent to the speed of \(Y\) kilometers per hour, what is \(Y\) in terms of \(X\)? (1 kilometer=1000 meters)
A. \(\frac{5x}{18}\)
B. \(\frac{6x}{5}\)
C. \(\frac{18x}{5}\)
D. \(60x\)
E. \(3600000x\)
The OA is C
Source: GMAT Prep
We can start by converting y kilometers to meters.
y kilometers = 1,000y meters
Next, we can convert 1 hour to seconds.
1 hour = 3,600 seconds
Thus, y km/hr can be expressed as 1,000y/3,600 m/sec, or 5y/18 m/sec, after it's simplified.
Since our two rates are equal, x = 5y/18. We need to solve this equation for y.
18x = 5y
18x/5 = y
Answer: C
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