Puzzle: How many uneaten apples that the horse can transport?

Puzzle #5

You have to cross a large desert that is 1,000 km long. You have a horse and 3,000 apples. The horse can carry a maximum of 1,000 apples at any time. For every kilometer that the horse needs to travel, it eats one apple before it can start moving.

What is the maximum number of uneaten apples that the horse can transport to the other end of the desert?

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Explanation:

The question is very interesting for a better understanding we have to divide the journey into three parts:

Part 1: End at point A, which is 200 km from the starting point.

Part 2: End at point B, which is 333 km further away from point A.

Part 3: of 467 km ending at the other end of the desert.

Part 1:

Start with transporting 1000 apples to Point A. The horse will consume 200 apples on the way to point A.

Deposit 600 apples at point A and return the remaining 200 apples to the origin. Repeat the same and after the 3rd trip you will end up with 600+600+800 = 2000 apples at point A.

Part 2:

Now start transporting 1000 apples from point A to point B.

The horse will consume 333 apples on the way, and deposit 334 apples at point B and return to A for another trip.

After two trips you will end up with 334+667 = 1001 apples at point B.

Part 3:

Load the horse with 1000 apples; let’s give one apple at the start of part B. The horse will consume 467 apples on the way to the other end of the desert.

You will end up with 1001-467 = 534 apples at the other end of the desert.

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