Question

Convert 120 kilometers per hour into miles per hour using dimensional analysis

Answer 1

74.56 miles / h

Explanation:

1 mile = 1.609 km

Using the dimensional analysis you multiply the number you want to convert by 1 (using a fraction with the needed units)

Since 1 mile = 1.609 km then:

`1= (1 mile)/(1.609 km)`

Now to convert 120 kilometers per hour to miles per hour :

`120 (km)/(h) * (1 mile)/(1.609 km) = (120)/(1.609)(miles)/(h) = 74.56 (miles)/(h)`