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Bus Scheduling is a puzzle in Professor Layton and the Unwound Future.

Puzzle

US Version

It takes you one hour to get to the office by bus. Your work takes two hours to complete, after which you catch the bus home.

Based on the departure times listed below, which bus, A,B,C,D, or E, should you take to work in order to minimize the wait for a ride home?

Note: The departure times for the buses home are listed to the right.

UK Version

Your bus journey to work takes one hour. You work for two hours, then take the bus home from the bus stop next to where you work. The bus timetables to and from work are shown below.

You want to make the time between getting on the bus to work and getting off the bus from work as short as possible. Which bus should you take to work in order to achieve this?

Touch the letter next to the departure time of this bus.

Hints




Click a Tab to reveal the Hint.

US Version

It doesn't matter what time you get to work, so you can take any of the buses and be fine. But once you get there, you're stuck taking whatever bus leaves the soonest after you finished working.

Start your thinking from there.

UK Version

You can choose any bus you like to get to work, but you have to take the first bus that leaves after you finish work in order to get back as quickly as possible.

Remember to take this into consideration.

US Version

For example, suppose there was a bus you could take to the office at 12:30pm. In this case, you would arrive at 1:30pm. It takes two hours to finish your work, so by the time you were done, it would be 3:30pm. That's the soonest you could catch a bus home.

So for each of the buses going to the office, figure out what time you'd be done working and ready for a ride home.

UK Version

For example, suppose that there is a bus at 12:30. If you took this bus you would get to work at 13:30. By the time you finished work it'd be 15:30.

Work out what time you'd finish work for each bus on the timetable this way.

US Version

You're not overlooking any choices because they seem to late, are you?

As long as you get your work done, you can show up at whatever time works best for you.

UK Version

Forget any preconceived notions you might have about what time work starts.

You can work at any time you like.

US Version

Go to work late, head home first thing in the morning: this schedule is the most time effective, so which bus is it?

UK Version

Don't rule out working at night and going home in the morning...


Solution

Incorrect

US Version

Too bad!

Maybe making some notes on the bus timetable will help you work it out.

UK Version

Bad luck!

Making some notes on the bus timetable might help you work it out.

Correct

US Version

Righty-o!

Taking bus E to work at midnight will result in the shortest wait for a ride home. Your bus will leave home at 5:00am.

UK Version

That's right!

Taking the midnight bus to work and catching the first bus back in the morning will take the least amount of time overall.

UF003S

A big thanks to http://professorlayton3walkthrough.blogspot.com

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