QuestionAn aircraft uses $260 \mathrm{lbs}$ of fuel in 2.75 hours. What is the fuel consumption rate per hour?

Studdy Solution

STEP 1

Assumptions1. The aircraft uses260 lbs of fuel in hours45 minutes. . We need to find the rate of fuel consumption per hour.

STEP 2

First, we need to convert the time of2 hours45 minutes into hours only. We know that1 hour is equal to60 minutes.
$2 \, \text{hours} \,45 \, \text{minutes} =2 \, \text{hours} + \frac{45}{60} \, \text{hours}$

STEP 3

Calculate the total time in hours.
$2 \, \text{hours} + \frac{45}{60} \, \text{hours} =2.75 \, \text{hours}$

STEP 4

Now that we have the total time in hours, we can find the rate of fuel consumption per hour. The rate of fuel consumption is given by the total fuel used divided by the total time.
$\text{Rate of fuel consumption} = \frac{\text{Total fuel used}}{\text{Total time}}$

STEP 5

Plug in the values for the total fuel used and the total time to calculate the rate of fuel consumption.
$\text{Rate of fuel consumption} = \frac{260 \, \text{lbs}}{2.75 \, \text{hours}}$

STEP 6

Calculate the rate of fuel consumption per hour.
$\text{Rate of fuel consumption} = \frac{260 \, \text{lbs}}{2.75 \, \text{hours}} \approx94.55 \, \text{lbs/hour}$ The aircraft consumes approximately94.55 lbs of fuel per hour.

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