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: Consider Input: Question: On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction Q of the total distance did he cover while the sun was shining on him?

 Option A: 1/4

 Option B: 4/5

 Option C: 1/5

 Option D: 1/6

 Option E: 1/7

Output: Option E


Input: Consider Input: Question: Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 5 miles to Red Rock, retraced his path back for 2 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?

 Option A: 1 ≤ n ≤23

 Option B: 3 ≤ n ≤21

 Option C: 6 ≤ n ≤18

 Option D: 5 ≤ n ≤19

 Option E: 9 ≤ n ≤15

Output: Option C


Input: Consider Input: Question: A invested $15000 in a business after 6months B invested $18000 in the business. End of the year if they got $16000 as profit. Find B shares?

 Option A: $10000

 Option B: $12000

 Option C: $5000

 Option D: $6000

 Option E: $7500


Output: Option D