Navigation Problems USCG Question #870 (Set 25)

You have steamed 916 miles at 13 knots, and consumed 166 tons of fuel. If you have to steam 1325 miles to complete the voyage, how many tons of fuel will be consumed while steaming at 14 knots?

Official USCG Answer & Rule Citation

Correct Answer: Option C — 278 tons

Applying Bowditch fuel coefficient laws, fuel consumption varies directly with distance and as the cube of the speed: $F_2 = F_1 \times (D_2/D_1) \times (V_2/V_1)^3$. Computing this yields 278 tons of fuel consumed.

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