Answer:
11,179,000 mi/min
Step-by-step explanation:
You want the given speed of light expressed in miles per minute.
To convert the speed from km/s to mi/min, we need to multiply by factors of s/min and mi/km.
[tex]\dfrac{299792\text{ km}}{\text{s}}\times\dfrac{60\text{ s}}{\text{min}}\times\dfrac{1\text{ mi}}{1.609\text{ km}}=\dfrac{299792\cdot 60}{1.609}\,\dfrac{\text{mi}}{\text{min}}\\\\\approx\boxed{11,\!179,\!000\text{ mi/min}}[/tex]