You have steamed 607 miles at 17.0 knots,...

Question 1 of 2707066636eea28f7522a1c51b5fc

You have steamed 607 miles at 17.0 knots, and consumed 121 tons of fuel. If you have 479 tons of usable fuel remaining, how far can you steam at 14.5 knots?

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Question 1 of 27070

You have steamed 607 miles at 17.0 knots, and consumed 121 tons of fuel. If you have 479 tons of usable fuel remaining, how far can you steam at 14.5 knots?

🔍 Key Concepts

• Fuel consumption relationship between speed and power (for many displacement ships, power and fuel per hour change roughly with the cube of speed). • How miles per ton of fuel change when speed changes (fuel per mile ∝ speed² if fuel per hour ∝ speed³). • Using proportions: comparing performance at the first speed to performance at the second speed.

💭 Think About

• First find how many miles per ton you obtained during the initial run. How can you use this as a baseline efficiency? • If fuel used per hour increases with the cube of speed, what does that do to fuel used per mile and therefore miles per ton when you change speed? • Once you know the new miles per ton at 14.5 knots, how can you combine that with the remaining usable fuel to get a total possible steaming distance?

✅ Before You Answer

• Compute the initial miles per ton using 607 miles and 121 tons before doing anything else. • Carefully form the speed ratio (V₁/V₂) and apply the correct power (squared, not cubed) when adjusting miles per ton for the new speed. • After finding the new miles per ton at 14.5 knots, multiply by 479 tons and check whether your result is close to one of the answer choices.