Answer:
5 hours
Explanation:
You can use the speed formula to help you in this:
[tex]\displaystyle{v = \dfrac{s}{t}}[/tex]
where v is speed, s is distance and t is time.
First, solve the literal equation for t-term since we're looking for "how long" which is related to time.
First, multiply both sides by t:
[tex]\displaystyle{v \cdot t= \dfrac{s}{t}\cdot t}\\\\\displaystyle{v \cdot t= s}\\\\\displaystyle{s=vt}[/tex]
Then divide both sides by v:
[tex]\displaystyle{\dfrac{s}{v}=\dfrac{vt}{v}}\\\\\displaystyle{\dfrac{s}{v}=t}\\\\\displaystyle{t=\dfrac{s}{v}}[/tex]
Since we are given that a city's distance is 350 miles and you drive at the rate of 70 miles per hour. Then substitute v = 70 and s = 350 in the formula.
[tex]\displaystyle{t=\dfrac{350}{70}}\\\\\displaystyle{t=5 \ \, \sf{hours}}\\[/tex]
Therefore, it'll take 5 hours to drive the whole trip.
