🔍 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.