First thing every morning I walk through the park to the local shop for a newspaper.
I can walk in a straight line for two miles to get to the shop, and after exactly one mile I cross a gated bridge over the canal that runs straight across the park, perpendicular to my walk.
Unfortunately I often reach the gate before the Park Keeper has unlocked it. If the gate is locked I can walk one mile along the towpath, cross another bridge that is always open, and then walk straight to the shop.
If I know the gate is locked I can walk straight to the open canal bridge, but I don't know if the gate is open until I reach it.
If I beat the Park Keeper to the gate one morning in two, what is my best route to minimise the distance that I walk?
And if I beat the Park Keeper to the gate two mornings in three, what is my best route to minimise the distance that I walk?
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Answer at 9.00 on Monday