You have steamed 560 miles at 23 knots and burning 524 barrels of fuel per day. You must decrease your consumption to 260 barrels per day with 316 miles left in your voyage. What must you reduce your speed (kts) to in order to burn this amount of fuel?
ā¢ Fuel consumption vs. speed relationship (assume it is directly proportional for this problem) ā¢ How to convert barrels per day to barrels per hour at the original speed ā¢ Using a proportion to find the new speed when the fuel burn rate changes
ā¢ First, find how many barrels per hour you are burning at 23 knots. What time period (hours) corresponds to one day? ā¢ If fuel burn per hour is proportional to speed, how can you write an equation relating old speed and old burn rate to new speed and new burn rate? ā¢ Once you have the new speed, check whether you can still cover the remaining 316 miles without changing the allowed daily fuel consumption.
ā¢ Be sure you correctly convert 524 barrels per day into barrels per hour before comparing to 260 barrels per day ā¢ Confirm that you are using a direct proportion between speed and fuel burn (not distance) in your equation ā¢ After finding the new speed, verify it is reasonable: it should be slower than 23 knots and consistent with the reduced fuel rate
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