Help needed in writing this python program?

Bridge Crossing at Night puzzle: A group of five people, who have one flashlight,need to cross a rickety bridge at night. A maximum of three persons can cross the

bridge at one time, and any party that crosses(either two or three ) must have the flashlight with them. The flashlight must be walked back and forth; it cannot be

thrown. Person A takes 1.5minutes to cross the bridge,Person B takes 2minutes, Person C takes 4.25minutes, Person D takes 5minutes, and person E takes 9minutes.

At least, two persons must walk together at the slower person's pace

c)write a program segment that determine the total amount of time required for all persons to cross the bridge.

simulate the program and determine if the program will ever terminate stating reasons

d) Assume the number of persons is increased to 6 and the sixth person, F, takes 11minutes to cross the bridge

Do you envisage programmable solution? If solutoin exist for this problem, write a program segment that compute the total time required for all persons to cross

the bridge. Otherwise, provide reasons for no solution, state what will happen to your program and suggest remedy