🔍 Key Concepts

• Relationship between fuel consumption per hour and speed for a displacement vessel (often assumed to change with a power of the speed, not linearly). • How to compute fuel consumption rate (tons per hour) from distance, speed, and fuel used. • Using remaining fuel to find endurance in hours, then converting that to distance at the new speed.

💭 Think About

• From the initial voyage data, how many hours did the vessel steam, and what was the tons per hour fuel rate at 16.5 knots? • If fuel burned per hour changes more rapidly than speed (not just directly proportional), what mathematical relationship between the two speeds would greatly increase range at the lower speed? • Once you know the new tons-per-hour rate at 13 knots, how long (in hours) can you steam on 345 tons, and what distance does that correspond to at 13 knots?

✅ Before You Answer

• Be sure you are using fuel per hour, not fuel per mile, when applying the speed–consumption relationship. • Check that your assumed relationship between the two fuel rates uses both speeds correctly (e.g., a ratio involving powers of 16.5 and 13). • After computing the distance, confirm the result is reasonable: the range at 13 knots should be substantially greater than the distance already steamed at 16.5 knots.