If 400 km will require 30 L of diesel, find the rate of fuel consumption.
Answer (2)
The rate of fuel consumption is calculated by dividing the liters of diesel used by the kilometers traveled, resulting in a rate of 0.075 L/km. This indicates that 0.075 liters of diesel are consumed for every kilometer. Understanding this rate can help in estimating fuel needs for travel.
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Define the rate of fuel consumption as the ratio of liters of diesel used to kilometers traveled.
Calculate the rate: 400 km 30 L .
Simplify the fraction: 400 30 = 0.075 .
The rate of fuel consumption is 0.075 L/km .
Explanation
Understanding the Problem We are given that 400 km requires 30 L of diesel. We need to find the rate of fuel consumption, which is the amount of diesel used per kilometer.
Setting up the Calculation The rate of fuel consumption is calculated by dividing the amount of diesel used by the distance traveled. In this case, we have: Rate = Distance traveled (km) Diesel used (L)
Plugging in the Values Now, we plug in the given values: Rate = 400 km 30 L
Simplifying the Fraction We simplify the fraction: Rate = 400 30 = 40 3 = 0.075 L/km
Final Answer Therefore, the rate of fuel consumption is 0.075 L/km.
Examples
Understanding fuel consumption is crucial for managing transportation costs and environmental impact. For instance, knowing the fuel consumption rate helps in estimating the total fuel needed for a journey, planning budgets for transportation, and comparing the efficiency of different vehicles. A lower fuel consumption rate means better fuel efficiency, which translates to cost savings and reduced carbon emissions. This concept is widely used in logistics, transportation planning, and vehicle engineering to optimize performance and sustainability.
