Questions: Knowing that 1 mile = 1.609 km and there are 60 minutes in 1 hour, convert 17 miles per hour to kilometers per minute.

Transcript text: (2pts) Knowing that 1 mile $=1.609 \mathrm{~km}$ and there are 60 minutes in 1 hour, convert 17 miles per hour to kilometers per minute

Solution

Solution Steps

Step 1: Convert Miles per Hour to Kilometers per Hour

To convert the speed from miles per hour to kilometers per hour, use the conversion factor $1 \text{ mile} = 1.609 \text{ km}$. Multiply the speed in miles per hour by this conversion factor:

\[ \text{km per hour} = 17 \times 1.609 = 27.353 \text{ km/h} \]

Step 2: Convert Kilometers per Hour to Kilometers per Minute

To convert the speed from kilometers per hour to kilometers per minute, divide the speed in kilometers per hour by the number of minutes in an hour, which is 60:

\[ \text{km per minute} = \frac{27.353}{60} = 0.4559 \text{ km/min} \]