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A gasoline tanker truck carrying 19,500kg of diesel is delivering fuel to a gas station. The unloading pump delivers the fuel to the gas storage tanks at a rate of 300L/min. How long does it take for the truck to complete its fuel delivery?

a) 65 minutes

b) 65.5 minutes

c) 64.5 minutes

d) 66 minutes

User Gdoubleod
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1 Answer

3 votes

Final answer:

To calculate the delivery time, divide the total diesel volume (calculated from the mass and density of diesel) by the pump's flow rate. The calculated time of 76.47 minutes does not match the provided answer options, suggesting possible errors in the data or the answer choices.

Step-by-step explanation:

To determine how long it will take for the truck to complete its fuel delivery, we need to figure out the total volume of diesel that the truck is carrying and then divide it by the rate at which the fuel is being pumped out.

First, note that diesel has a density of approximately 0.850 kg/L. With the truck carrying 19,500 kg of diesel, we can calculate the total volume of diesel using the formula:

Volume = Mass / Density

Volume = 19,500 kg / 0.850 kg/L = 22,941.18 L

Now that we know the total volume, we can calculate the time it takes to unload the truck:

Time = Total Volume / Rate of Flow

Time = 22,941.18 L / 300 L/min

Time = 76.47 minutes

However, since the answer options provided do not include 76.47 minutes, there might be a mistake in the question's data or perhaps miscommunication in the provided choices. Be sure to clarify the data or the answer choices with your instructor.

User LKM
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