### Instruction: A car averages 45 mph for the first 4 hours of a trip and averages 75 mph for each additional hour. The average speed for the entire trip was 65 mph. How many hours long is the trip?
Answer Choices: (A) 12 (B) 11 (C) 10 (D) 9 (E) 8 Let's program in Python in the response.### Response: answers = ['A', 'B', 'C', 'D', 'E']
# Let's assume the total trip time is x hours
# According to the given information, the car averages 45 mph for the first 4 hours, so it covers a distance of 45 * 4 = 180 miles in the first 4 hours
# The remaining distance is (x - 4) hours * 75 mph = 75(x - 4) miles
# The total distance covered is 180 + 75(x - 4) miles
# The average speed for the entire trip is 65 mph, so the total time taken is (180 + 75(x - 4)) / 65 hours
# Setting this equal to x, we get (180 + 75(x - 4)) / 65 = x
# Solving this equation will give us the value of x, which represents the total trip time

from sympy import symbols, Eq, solve

x = symbols('x')
equation = Eq((180 + 75*(x - 4))/65, x)
solution = solve(equation, x)

# The solution will be in decimal form, so we need to round it to the nearest integer
trip_time = round(solution[0])

# Check which answer choice matches the calculated trip time
options = [12, 11, 10, 9, 8]
index = options.index(trip_time)
print(answers[index])