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an ocean liner is iling across the atlantic ocean. late one night during the journey, she strikes an iceberg. the leak created is taking in water at a rate of 3.25 tons every 12 minutes. the ship is 40 miles from the nearest land. the captain knows that the ship will sink if it takes in 68 tons of water. the pumps of the ship can throw out 12 tons of water every hour. unfortunetly, with this damage the ship can only travel at the rate of 2.25 miles per hour. the captain radios search and rescue personnel that the ship will not likely make it to shore before it sinks. if the captain is correct, how far from shore will the ship sink?

2007-06-01 19:03:25 · 1 answers · asked by Anonymous in Science & Mathematics Physics

1 answers

At what rate is the ship taking on water?
3.25 tons/12 minutes = x tons/60 minutes
12x = 3.25*60
x = 16.25 tons/60 min. (or 16.25 tons per hour) coming in

Pumps throw out 12 tons per hour. Net gain of water is:
16.25 - 12 = 4.25 tons per hour

How long will it take to sink the ship if it requires 68 tons of water to sink?
68 tons / 4.25 tons per hour = 16 hours

How far can the ship travel in 16 hours if it can only travel 2.25 miles per hour?
16 hours * 2.25 miles per hour = 36 miles

How far offshore will the ship be?
40 miles - 36 miles = 4 miles offshore

2007-06-01 19:18:45 · answer #1 · answered by ecolink 7 · 0 0

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