Answer:
The greatest number of hours for which the car can be rented is 11 hours.
Explanation:
Given:
The car rental initial fee = $52.
The rent charge per hour = $8.
Total money available to spend on car rental = $144
Now, to find the greatest number of hours to be spend with $144 on car.
So, we deduct the initial fee first from the available money:

Now, the remaining amount = $92.
Thus, for getting the greatest number of hours we divide the remaining amount by rent charge of car per hour:

According to question the car cannot be rented for part of an hour so the greatest number of hours would be 11 hours.
Therefore, the greatest number of hours for which the car can be rented is 11 hours.