To convert the airplane's speed from kilometers per hour to miles per hour, we can use the conversion ratio of 1 kilometer = 0.62 miles.
The airplane travels at 900 kilometers per hour, so we can calculate the speed in miles per hour as follows:
\[ \text{Speed in miles per hour} = \text{Speed in kilometers per hour} \times \text{conversion ratio} \]
\[ \text{Speed in miles per hour} = 900 , \text{km/h} \times 0.62 , \text{miles/km} \]
Now, perform the multiplication:
\[ \text{Speed in miles per hour} = 900 \times 0.62 = 558 , \text{miles per hour} \]
Thus, the airplane's speed in miles per hour is 558.
The correct answer is b. 558.