Your ship has steamed 1940 miles at 21 knots using 635 tons of fuel oil. The distance remaining to your next port is 1833 miles. If you increase speed to 25 knots, how much fuel will be used to reach that port?
⢠Relationship between speed, time, and distance: ( \text{Speed} = \frac{\text{Distance}}{\text{Time}} ) ⢠How to find fuel consumption per hour from a known voyage segment ⢠How changing speed (knots) affects total time and therefore fuel used
⢠First, use the completed part of the voyage to find how many hours you have already steamed and how many tons of fuel were burned per hour at 21 knots. ⢠Next, calculate how many hours it will take to cover the remaining distance at the new speed of 25 knots. ⢠Finally, apply the fuel consumption rate (tons per hour) to the new steaming time to estimate the fuel needed from now to the next port.
⢠Be sure to convert distance to time using the correct speed each time: ( \text{Time (hours)} = \frac{\text{Distance (NM)}}{\text{Speed (knots)}} ). ⢠Double-check that you are using fuel per hour, not fuel per mile, based on the original data. ⢠After you compute the fuel needed for the remaining leg, compare your result to the choices and check if it is a reasonable change compared with the original 635 tons burned.
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