Question

248 meters per second = miles per hour

Answer 1

554.76 miles per hour

Explanation:

`(248 meters)/(1 second)` x
`(3600 seconds)/(1 hour)` x
`(1 mile)/(1609.34 meters)`

= 554.76 miles per hour

Answer 2

`\sf 554.76(mi/h).`

Explanation:

1. Write the initial expression.

`\sf (248(m))/(s)`

2. Using conversion factors, convert from meters to miles.

a) First, convert the meters to kilometers.

`\sf 248(m)*(1(km))/(1000(m)) =0.248(km)`

Here, the meters cancel, since one is on the numerator and the other one is expressed as a denominator, and we simpyl multiply the value by the fraction, resulting in a number that would be a value for kilometers.

b) Convert from kilometers to miles.

`\sf 0.248(km)*(1(mi))/(1.60934(km)) =0.1541(mi)`

3. Convert the seconds into hours.

`\sf 1(seconds)*(1(hour))/(3600(seconds)) =(1)/(3600)(h)`

4. Rewrite the initial expression using the calculated converted values.

`\sf (0.1541(mi))/((1)/(3600) (h)) =554.76(mi/h)`