Answer:
7.8 hours.
Step-by-step explanation:
We have been given that Willis drove 239.82 miles in 4.2 hours at a constant speed.
First of all let us find out speed at which Willis traveled 239.82 miles using speed formula.
[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]
[tex]\text{Speed}=\frac{239.82\text{ miles}}{4.2\text{ hours}}[/tex]
[tex]\text{Speed}=57.1\frac{\text{ miles}}{\text{ hour}}[/tex]
Now let us find time taken by Willis to cover a distance of 445.38 miles.
[tex]\text{Time}=\frac{\text{Distance}}{\text{Speed}}[/tex]
[tex]\text{Time}=\frac{445.38\text{ miles}}{57.1\frac{\text{ miles}}{\text{ hour}}}[/tex]
[tex]\text{Time}=\frac{445.38\text{ miles}}{57.1}\times\frac{\text{hour}}{\text{ miles}}}[/tex]
[tex]\text{Time}=\frac{445.38}{57.1}\times\text{hour}[/tex]
[tex]\text{Time}=7.8\text{ hour}[/tex]
Therefore, it will take Willis 7.8 hours to drive 445.38 miles at the same speed.