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: 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
d

Problem: a furniture dealer purchased a desk for $ 150 and then set the selling price equal to the purchase price plus a markup that was 40 % of the selling price. if the dealer sold the desk at the selling price, what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?
Options: a. $ 40, b. $ 60, c. $ 80, d. $ 90, e. $ 100
e

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

b