The conversion factor relating miles to meters is 1mile=1610m. the speed of light is 3.00×108 m/s. how fast is this in miles per hour (miles/h)?

The Speed of Light is 3 × 10⁸ Meters per Second

It means In one second Light travels a Distance of 3 × 10⁸ Meters

We know that One Hour is made up of 60 minutes and Each Minute has 60 seconds.

One Hour has 60 × 60 = 3600 seconds

In 3600 seconds Light Travels a Distance of 3 × 10⁸ × 3600 Meters

In One hour Light Travels a Distance of 3 × 10⁸ × 3600 Meters

We know that One Mile = 1610 Meter

3 × 10⁸ × 3600 Meters in Miles = (3 × 10⁸ × 3600)/1610 = 6.7 × 10⁸ Miles

The Speed of Light in Miles per Hour is 6.7 × 10⁸

option number c is the right answer.