### Instruction: A cistern is two-third full of water. Pipe A can fill the remaining part in 12 minutes and pipe B in 8 minutes. Once the cistern is emptied, how much time will they take to fill it together completely?
Answer Choices: (A) 12 minutes (B) 12.5 min (C) 14.4 min (D) 10.2 min (E) 14.66 min Let's program in Python in the response.### Response: # calculate the fraction of the cistern that is already filled
filled_fraction = 2/3
# calculate the fraction of the cistern that needs to be filled
remaining_fraction = 1 - filled_fraction
# calculate the filling rate of pipe A
filling_rate_A = remaining_fraction / 12
# calculate the filling rate of pipe B
filling_rate_B = remaining_fraction / 8
# calculate the combined filling rate of pipe A and pipe B
combined_filling_rate = filling_rate_A + filling_rate_B
# calculate the time required to fill the cistern completely
time_required = 1 / combined_filling_rate
print(time_required)