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Mother & Daughter is a puzzle in Professor Layton and the Last Specter.

Puzzle

US Version

A mother and daughter have become separated from one another. As shown below, the streets in their village form a perfect grid. The mother is at point A, and the daughter is at point F.

Walking the same speed, the mother takes the red path from point A to F and back, and the daughter takes the yellow path from point F to A and back. They start at the same time and won't stop walking until they find each other.

At which point, A - F, will they reunite?

UK Version

A mother and her daughter have got separated in a village in which the streets form a perfect grid. They anxiously start looking for each other.

The mother starts at point A and takes the red path between A and F. The daughter starts at point F and follows the yellow path between F and A. Both walk at the same speed and will go back and forth until they find each other.

At which point do mother and daughter reunite? Choose a point from A to F.

Hints




Click a Tab to reveal the Hint.

US Version

There's no trick to solving this puzzle, other than taking it slow and steady and tracking both paths simultaneously.

UK Version

There's no way to solve this puzzle but to patiently follow both mother and daughter's paths until they cross.

US Version

After one round-trip each, they still won't have crossed paths.

If one of them would just stop moving it might make things easier, but they're both determined to keep walking until they find each other.

UK Version

It looks as if neither will meet the other on their first round trip. If only the mother would stop for a moment, they could meet sooner...

US Version

After the mother completes one round-trip from A to F and back to A, the daughter will be at point B and on the way to C.

The point where they'll eventually reunite is just a bit farther...

UK Version

At the end of the mother's first round trip, when she has got back to point A, the daughter is at point B, facing point C. The point where they're reunited is just a little further ahead.

US Version

The mother will cross paths with her daughter after she's finished one round-trip and is one her way back to point F on her second round-trip.

The daughter will be on her third round-trip, having already completed two full trips from A to F and back.

Before their paths finally cross, the mother will be at point d and the daughter at point F.

UK Version

The mother meets her daughter after finishing one round trip, on the way to point F. The daughter meets her mother after two complete round trips, on the way to point A.

Shortly before they meet, the mother will be at point D just after the daughter leaves point F.


Solution

Incorrect

US Version

Too bad!

It takes patience to track two paths at the same time.

UK Version

Too bad.

It takes patience to track two paths at the same time.

Correct

US Version

Correct!

They'll eventually find each other at point E, while the mother is on her second round-trip and the daughter is on her third.

UK Version

That's right!

The mother and daughter meet at point E.

The two are reunited while the mother is on her second round trip and the daughter on her third round trip.

LS163S

A big thanks to http://professorlayton4walkthrough.blogspot.com

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