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.
--------
Question: Problem: two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 10 hours and 8 hours respectively. the ratio of their speeds is
Options: a. 4: 9, b. 4: 3, c. 4: 12, d. 4: 8, e. 4: 5

Answer: e

Question: Problem: farm tax is levied on the 45 % of the cultivated land. the tax department collected total $ 3840 through the farm tax from the village of mr. willam. mr. willam paid only $ 480 as farm tax. the percentage of total land of mr. willam over the total taxable land of the village is :
Options: a. 15 %, b. 25 %, c. 15.125 %, d. 27.78 %, e. none

Answer: d

Question: Problem: if the function q is defined by the formula q = 5 w / ( 4 h ( z ^ 2 ) ), by what factor will q be multiplied if w is quadrupled, h is doubled, and z is tripled ?
Options: a. 1 / 9, b. 2 / 9, c. 4 / 9, d. 3 / 9, e. 2 / 27

Answer:
b