At your current speed of 19 knots you only have enough fuel remaining to travel 265 miles. You must travel 731 miles to reach your destination. What should you reduce your speed (knots) to in order to reach your destination?
ā¢ Speedādistanceātime relationship: if you slow down, how does that affect how far your fuel will take you? ā¢ How range changes with speed when fuel on board is fixed (think: miles you can go is proportional to speed only if fuel burn per hour is fixed). ā¢ Setting up a proportion between miles you can travel now and miles you need to travel to find the new speed.
ā¢ First, find how long (in hours) you can currently run at 19 knots with the remaining fuel, using distance and speed. ā¢ Assume fuel burn per hour is the same at both speeds; use that same number of hours but with an unknown new speed that must carry you 731 miles. ā¢ Set up an equation using Speed = Distance / Time for both the current condition and the required passage, then solve for the new speed.
ā¢ Make sure you convert time in hours correctly from the initial 265 miles at 19 knots. ā¢ Be certain you use the same time value (same fuel endurance) for both parts of the problem. ā¢ After finding the new speed, check that at that speed for that number of hours you can go at least 731 miles, and compare that value with the answer choices.
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