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Charlotte is running at a rate of

9(km)/(h)". "
What is Charlotte's speed in
(m)/(s) ?

(m)/(s)

Charlotte is running at a rate of $\frac{9\,\text{km}}{\text{h}}$ . What is Charlotte's speed in $\frac{\text{m}}{\text{s}}$ ?

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Convert rates and measurements: customary units

Full solution

Q. Charlotte is running at a rate of

\frac{9\,\text{km}}{\text{h}}

. What is Charlotte's speed in

\frac{\text{m}}{\text{s}}

?

Conversion factors: To convert the speed from kilometers per hour to meters per second, we need to know the conversion factors: $1$ kilometer is equal to $1000$ meters, and $1$ hour is equal to $3600$ seconds.
Converting kilometers per hour to meters: Charlotte's speed is given as $9$ kilometers per hour. To convert this to meters, we multiply by $1000$ (since $1 \text{ km} = 1000 \text{ m}$ ). $\newline$ Calculation: $9 \text{ km/h} \times 1000 \text{ m/km} = 9000 \text{ m/h}$ .
Calculating the conversion: Now, to convert the speed from meters per hour to meters per second, we divide by $3600$ (since $1$ hour $= 3600$ seconds). $\newline$ Calculation: $\frac{9000 \, \text{m/h}}{3600 \, \text{s/h}} = 2.5 \, \text{m/s}$ .

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