TASK 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.
PROBLEM: Question: A bike covers a certain distance at the speed of 67km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?

Option A: 89.33 km/h

Option B: 85.34 km/h

Option C: 87.67 km/h

Option D: 90.25 km/h

Option E: 90.64 km/h

SOLUTION: Option A

PROBLEM: Question: A certain vehicle is undergoing performance adjustments during a set of three trials on an 8-mile track. The first time it travels around the track at a constant rate of p miles per minute, the second time at a constant rate of p^2 miles per minute, and the third time at a constant rate of p^3 miles per minute. If the vehicle takes the same time to travel the first 18 miles of these trials as it does to travel the last 8 miles, how many minutes does it take to complete all three trials (not counting any time between trials)?

Option A: 18

Option B: 36

Option C: 60

Option D: 96

Option E: 112 minutes

SOLUTION: Option E

PROBLEM: Question: A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?

Option A: 15 years

Option B: 11 years

Option C: 12 years

Option D: 18 years

Option E: 19 years

SOLUTION:
Option C