Question

Willis drove 239.82 miles in 4.2 hours at a constant speed. How long would it take him to drive 445.38 miles at the same speed?

Answer 1

7.8 hours.

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.

`\text{Speed}=\frac{\text{Distance}}{\text{Time}}`

`\text{Speed}=\frac{239.82\text{ miles}}{4.2\text{ hours}}`

`\text{Speed}=57.1\frac{\text{ miles}}{\text{ hour}}`

Now let us find time taken by Willis to cover a distance of 445.38 miles.

`\text{Time}=\frac{\text{Distance}}{\text{Speed}}`

`\text{Time}=\frac{445.38\text{ miles}}{57.1\frac{\text{ miles}}{\text{ hour}}}`

`\text{Time}=\frac{445.38\text{ miles}}{57.1}*\frac{\text{hour}}{\text{ miles}}}`

`\text{Time}=(445.38)/(57.1)*\text{hour}`

`\text{Time}=7.8\text{ hour}`

Therefore, it will take Willis 7.8 hours to drive 445.38 miles at the same speed.