Navigation Problems USCG Question #691 (Set 20)

You have steamed 918 miles at 15.0 knots, and consumed 183 tons of fuel. If you have 200 tons of usable fuel remaining, how far can you steam at 12 knots?

Official USCG Answer & Rule Citation

Correct Answer: Option C — 1568 miles

Fuel consumption per mile depends on speed squared ($F \propto V^2$). Initial consumption rate is 183 tons / 918 miles = 0.1994 tons/mile at 15 knots. Using fuel laws ($F_2/F_1 = (V_2/V_1)^2$), the remaining 200 tons at 12 knots yields a steaming distance of 1568 miles.

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