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 question asks us to convert the given value into units of miles per hour. So, we convert from meters to miles and from s to hours. We do as follows:

3.00×10^8 m/s ( 1 mile / 1610 m ) ( 3600 s / 1 hr ) = 670807453.42 miles per hr

Hope this answers the question. Have a nice day.