### Alphabet Jogging

Here is a puzzle my son just told me:

Imagine that all the letters of the alphabet are towns situated on a straight line, with a distance 1 miles between each two neighboring towns. A - (1 mile to) - B - (1 mile to) - C - (1 mile to) .... (1 mile to) - Z. Now, imagine you are jogging in the following interesting pattern:

• you start from A and jog to B, then return back to A

• you continue from A to C, then return back to A

• you do this for each subsequent letter of the alphabet, finishing with a sprint from A to Z and back.

What is the total distance of your jog?

### Family reunion

Organizing a family reunion, father was telling to his son. "I have just as many brothers as I have sisters, but each of my sisters has twice as many brothers as she has sisters." How many brothers and sisters are in this family?

### Mysterious behavior.

NY apartment building supervisor noticed that a boy who frequently visited his grandparents always rode to 9th floor and then walked up to the 15th floor where his grandparents lived. On the way down boy always rode elevator all the way from 15th to the ground floor. What can explain this suspicious behavior.

### Who is taller?

Anna is shorter than Rachel, who is higher than Maya, who is shorter than Zoe, who is is higher than Rachel. Who is the tallest?

Check out our Puzzle Marathon daily - new puzzle is posted as soon as previous one is being solved. Happy Holidays and interesting school vacation wishes from TheMathMom.

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