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.

[Q]: 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.
[A]: c

[Q]: Problem: at a certain university, 65 % of the professors are women, and 70 % of the professors are tenured. if 90 % of the professors are women, tenured, or both, then what percent of the men are tenured ?
Options: a. 25, b. 37.5, c. 50, d. 62.5, e. 75
[A]: d

[Q]: Problem: 20 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. how many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres ?
Options: a. 30, b. 32, c. 60, d. data inadequate, e. none of these
[A]:
a