🔍 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.