Answer:
you travel at 1.19 × [tex]10^{8}[/tex] miles/hour
Explanation:
given data
running a red light v = 316
red light λ = 624 nm
yellow light λ = 580 nm
to find out
How fast you travel ( V)
solution
we know here red light and yellow frequency that is
frequency fr= v / λ = 316 /  624 nm  = 4.4 × [tex]10^{14}[/tex]  Hz
frequency for yellow fy = 5.18 × [tex]10^{14}[/tex]  Hz
so frequency formula is
fr = fy ( s + V ) Â / s
here s speed of light = 3 × [tex]10^{8}[/tex]
put here value
4.4 × [tex]10^{14}[/tex] = 5.18 × [tex]10^{14}[/tex] ( 3 × [tex]10^{8}[/tex] + V )  / 3 × [tex]10^{8}[/tex]
V =  5.32 × [tex]10^{7}[/tex] m/s
so
you travel at 1.19 × [tex]10^{8}[/tex] miles/hour