Answer: 100 miles must be driven in one day for the cost of charley's car to equal the cost of hugh's truck.
Explanation:
Let x represent the number of miles that must be driven in one day for the cost of charley's car to equal the cost of hugh's truck.
Charley's rent a truck agency charges $47 per day plus 8 cents per mile to rent a certain truck. It means that the cost of renting this truck and driving x miles in a day is
47 + 0.08x
Hugh's rent a truck charges $40 per day plus 15 cents per mile to rent the same truck. It means that the cost of renting this truck and driving x miles in a day is
40 + 0.15x
For the cost of both trucks to be the same, the number of miles would be
40 + 0.15x = 47 + 0.08x
0.15x - 0.08x = 47 - 40
0.07x = 7
x = 7/0.07
x = 100 miles