Cutting a 10 foot plank into 10 equal sections if it takes 1 minute per cut how long will it take him to get the 10 equal pieces?

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1037925

2026-02-02 05:05

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NOTE: The problem asks to cut the board into 10 equal parts, not into equal boards proportional to the original piece of wood.

Case 1: CANNOT stack wood on top of each other.

Assume the board 5 feet by 2 feet. If you made one horizontal cut in the center of the board 1 foot from each edge, and then made four vertical cuts at 1 foot apart, you would then have 10 equal pieces at 1' by 1' each. Time taken: 5 minutes for 5 cuts.

Case 2: CAN stack wood on top of each other.

The board is 5 feet by 2 feet. Cut the board long way 1 foot from the middle and the result is 2 boards 5 feet by 1 foot. Stack these two boards on top of each other. Then, cut the stack vertically one foot from the end now making 2 pieces of wood 1' by 1' and 2 pieces of wood 4' by 1'. Then, take the 2 pieces of wood 4' by 1' and stack them on top of each other. Cut vertically once in half, so you now result in 4 boards 2' by 1'. Finally, stack these 4 pieces of wood on top of each other. Cut once vertically and you now have 8 pieces of wood 1' by 1' (plus the 2 from earlier which now make 10). Time taken: 4 minutes for 4 cuts.

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