On a ship, as weight is added to the deck, the ship lies a little lower in the water. For every 200 stone in weight on the deck, the boat lies 0.5 feet lower in the water.By how many inches would the ship sink if there was a weight of 12,600 pounds (lbs) on the deck?Remember: 1 foot is equal to 12 inches.
Question
On a ship, as weight is added to the deck, the ship lies a little lower in the water. For every 200 stone in weight on the deck, the boat lies 0.5 feet lower in the water.By how many inches would the ship sink if there was a weight of 12,600 pounds (lbs) on the deck?Remember: 1 foot is equal to 12 inches.
Solution
First, we need to convert the weight from pounds to stone because the relationship given is in stone. There are 14 pounds in a stone, so 12,600 pounds is 12,600 / 14 = 900 stone.
Next, we use the relationship given: for every 200 stone, the boat sinks 0.5 feet. So for 900 stone, the boat would sink 900 / 200 * 0.5 = 2.25 feet.
Finally, we need to convert feet to inches because the question asks for the answer in inches. There are 12 inches in a foot, so 2.25 feet is 2.25 * 12 = 27 inches.
So, the ship would sink by 27 inches.
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