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 = 1,000 meters) A. 5x/18 B. 6x/5 C. 18x/5 D. 60x E. 3,600,000x

Explanation:

Given that

x m/s is equivalent to y km/hr

We know that 1000m=1km

Also, 1hour=60mins

And, 1mins=60sec

Therefore,

xm/s=y (km/hr) × (1000m/1km) × (1hr/60mins) × (1mins/60s)

Then, the km cancels out, also the hours cancels out and the minutes cancel out

Then, we see left with

xm/s=y × 1000m/3600s

xm/s=(1000/3600)y m/s

xm/s=5y/18 m/s

Then, make y the subject of the formula

Cross multiply

18xm/s=5y

Divide both side by 5

y=18x/5

The correct answer is C

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