Final answer:
To find out how many miles the student will have to his destination after 66 minutes of driving, we can calculate the distance using the speed and time equation.
Step-by-step explanation:
To find out how many miles the student will have to his destination after 66 minutes of driving, we can use the concept of speed and distance. Let's calculate the speed of the student:
Speed = Distance / Time
For the first case, where the student has 35.8 miles to his destination after 40 minutes of driving:
Speed = 35.8 miles / 40 minutes = 0.895 miles/minute
Now, let's find the distance the student will have to his destination after 66 minutes of driving:
Distance = Speed * Time
Distance = 0.895 miles/minute * 66 minutes = 59.07 miles
Therefore, the student will have approximately 59.07 miles to his destination after 66 minutes of driving.