Question

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

Answer 1

Answer:

74.56 miles / h

Step-by-step 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:

$1= \frac{1 mile}{1.609 km}$

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

$120 \frac{km}{h} * \frac{1 mile}{1.609 km} = \frac{120}{1.609}\frac{miles}{h} = 74.56 \frac{miles}{h}$