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Tybras

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## Homework Statement

You are trying to clean up a mess. This mess extends along a 28 mile path between points A and B. You have 61 workers (including yourself) that can lift upto 150 lbs.

You have up to 4 wagons that can carry a total of 12000 lbs each, and weigh 400 lbs each, pulled buy upto 7 horses. Each wagon needs 1 driver if there are 4 or less horses on it, and 2 drivers if there are 5 to 7 horse. While driving a wagon, a worker cannot carry any weight. Each worker weighs 200 lbs.

Every 2 feet, there is a pile of debris with 722 - 50 lbs pieces. Each worker eats 2 lbs of food a day. Each horse eats 10 lbs of feed a day. Each person has a container that weigh 5 lbs when full, 1 lb when empty) that holds enough water for 2 days. Each horse needs to drink 7 gallons of water a day. A 300 gallon trough weighs 560 lbs when empty and 2810 lbs when full.

You have access to a river to refill all the containers for water once every 5 miles. If the weight per horse pulled on a wagon is less than 540 lbs, the wagon can travel 15 miles per day on any area of path not cleared by debris, and 30 miles per day on any area cleared of debris.If the weight per horse pulled on a wagon is between 540 lbs and 1080 lbs, the wagon can travel 12 miles per day on any area of path not cleared of debris and 15 miles per day on any area of path that has been cleared of debris.

If the weight per horse pulled on a wagon is between 1080 lbs and 2160 lbs, the wagon can travel at 9 miles per day on any area of path that has not been cleared of debris, and 12 miles per day on any area of path that has been cleared of debris. If the weight per horse pulled on a wagon is more than 2160 lbs, the wagon cannot move.

Any worker carrying less than 100 lbs can move at 15 miles per day on any area of path not cleared of debris, and 30 miles per day on any area of path that has been cleared of debris. If a worker is carrying between 100 lbs and 150 lbs, they move at 9 miles per hour regardless of if the path has or has not been cleared of debris.

Assuming they start from point A, and can only obtain food for the workers and feed for the horses at point A, and must carry enough food and feed to preform each trip, How many days would it take them to move all the debris to Point A? How many days would it take them to move all the debris to point B, then return to point A?

## Homework Equations

Time = distance/ Rate of travel

Weight per horse= (weight of wagon+ weight on wagon)/Number of Horses per wagon

Weight on wagon = weight of drivers + weight of cargo; must be less than or equal to 12000 lbs

unsure of other equations

## The Attempt at a Solution

not sure of where to go