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.

Problem: p has $ 32 more than what q and r together would have had if both b and c had 1 / 6 of what p has. how much does p have ?
Options: a. $ 44, b. $ 48, c. $ 52, d. $ 56, e. $ 60
b

Problem: michelle deposited a certain sum of money in a savings account on july 1 st, 2007. she earns an 14 % interest compounded semiannually. the sum of money in the account on december 31 st, 2009 is approximately what percent of the initial deposit ?
Options: a. 117 %, b. 120 %, c. 121 %, d. 138 %, e. 145 %
d

Problem: john and amanda stand at opposite ends of a straight road and start running towards each other at the same moment. their rates are randomly selected in advance so that john runs at a constant rate of 3, 4, or 5 miles per hour and amanda runs at a constant rate of 3, 4, 5, 6, or 7 miles per hour. what is the probability that john has traveled farther than amanda by the time they meet ?
Options: a. 1 / 2, b. 1 / 3, c. 1 / 5, d. 2 / 15, e. 4 / 15

c