Detailed Instructions: 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.
Problem:Question: Working together, Jose and Jane can complete an assigned task in 15 days. However, if Jose worked alone and complete half the work and then Jane takes over the task and completes the second half of the task, the task will be completed in 45 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose

Option A: 26 days

Option B: 31 days

Option C: 50 days

Option D: 65 days

Option E: 36 days
Solution:
Option C