Questions: A military jet cruising at an altitude of 12.0 km and speed of 1300 km/h burns fuel at the rate of 71.6 L/min. How would you calculate the amount of fuel the jet consumes on a 950 km mission? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.

A military jet cruising at an altitude of 12.0 km and speed of 1300 km/h burns fuel at the rate of 71.6 L/min. How would you calculate the amount of fuel the jet consumes on a 950 km mission? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.
Transcript text: A military jet cruising at an altitude of 12.0 km and speed of $1300 . \mathrm{km} / \mathrm{h}$ burns fuel at the rate of $71.6 \mathrm{~L} / \mathrm{min}$. How would you calculate the amount of fuel the jet consumes on a $950 . \mathrm{km}$ mission? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.
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Solution

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Solution Steps

Step 1: Determine the Time of the Mission
  • Calculate the time it takes for the jet to complete the \(950 \, \mathrm{km}\) mission using the formula for time: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
  • Substitute the given values: \[ \text{Time} = \frac{950 \, \mathrm{km}}{1300 \, \mathrm{km/h}} \]
Step 2: Convert Time to Minutes
  • Convert the time from hours to minutes since the fuel consumption rate is given in liters per minute: \[ \text{Time in minutes} = \left(\frac{950 \, \mathrm{km}}{1300 \, \mathrm{km/h}}\right) \times 60 \, \mathrm{min/h} \]
Step 3: Calculate Fuel Consumption
  • Use the fuel consumption rate to find the total fuel consumed during the mission: \[ \text{Fuel Consumed} = \left(\frac{950 \, \mathrm{km}}{1300 \, \mathrm{km/h}} \times 60 \, \mathrm{min/h}\right) \times 71.6 \, \mathrm{L/min} \]

Final Answer

\(\boxed{\left(\frac{950 \, \mathrm{km}}{1300 \, \mathrm{km/h}} \times 60 \, \mathrm{min/h}\right) \times 71.6 \, \mathrm{L/min}}\)

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