Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.
Input: Question: Machine A and machine B process the same work at different rates. Machine C processes work as fast as Machines A and B combined. Machine D processes work three times as fast as Machine C; Machine D's work rate is also exactly four times Machine B's rate. Assume all four machines work at fixed unchanging rates. If Machine A works alone on a job, it takes 6 hours and 40 minutes. If all four machines work together on the same job simultaneously, how many minutes will it take all of them to complete it?

Option A: 18

Option B: 18

Option C: 20

Option D: 22

Option E: 24
Output:
Option C