The car travels 165 miles in 3 hours. It is given that the distance traveled varies directly with the time spent driving (This is so because the car has constant speed). That is
[tex] d=kt [/tex]. So we have [tex] d_1=kt_1,d_2=kt_2 [/tex], where [tex] k [/tex] a constant (probably speed). Dividing the equations,
[tex] \frac{d_1}{d_2} =\frac{t_1}{t_2} \\
d_2=\frac{t_2}{t_1} d_1\\
d_2=\frac{5}{3}( 165)\\
d_2=275 [/tex]
The distance traveled in 5 hours is [tex] 275 \;miles [/tex]
