Question

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)

Answer 1

`y=(18)/(5)x`

Step-by-step explanation:

1 km = 1000 m

1 h = 60 minutes × 60 seconds

⇒1 h = 3600 seconds

First we need to convet kilometers to meter. We do this by multiplying y with 1000. Then we convert the hour into second, this is done by dividing y by 3600.

`x\ m/s=y\ km/h\\\Rightarrow (y* 1000)/(3600)=x\ m/s\\\Rightarrow y(5)/(18)=x\\\Rightarrow y=(18)/(5)x`

So,
`\mathbf{y=(18)/(5)x}`