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: A machine puts c caps on bottles in m minutes. How many seconds will it take to put caps on b bottles?

Option A: 60bm/c

Option B: bm/60c

Option C: bc/60m

Option D: 60b/cm

Option E: b/60cm

Output: Option A

Input: Consider Input: Question: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is:

Option A: 70 km/hr

Option B: 75 km/hr

Option C: 84 km/hr

Option D: 87.5 km/hr

Option E: 88.5 km/hr

Output: Option D

Input: Consider Input: Question: A boy is travelling from his home to school at 6km/hr and reached 7min late. Next day he travelled at 12km/hr and reached 8min early. Distance between home and school?

Option A: 2km

Option B: 3km

Option C: 4km

Option D: 5km

Option E: 6km
Output: Option B