Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

Input: Consider Input: Problem: john left home and drove at the rate of 45 mph for 2 hours. he stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination. how many miles did john drive ?
Options: a. 235 miles., b. 245 miles., c. 225 miles., d. 265 miles., e. 275 miles.

Output: c

Input: Consider Input: Problem: the average age of 15 students of a class is 15 years. out of these, the average age of 8 students is 14 years and that of the other 6 students is 16 years, the age of the 15 th student is
Options: a. 17, b. 12, c. 13, d. 14, e. 15

Output: a

Input: Consider Input: Problem: john and beth each drove from smallville to crown city by different routes. john drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. beth ' s route was 5 miles longer, and it took her 20 minutes more than john to complete the trip. how many miles per hour was beth ' s average speed on this trip ?
Options: a. 24, b. 30, c. 48, d. 54, e. 75
Output: b