Question
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Which is performing more efficiently, a car getting 12 km per liter of gas or one getting 31 miles per gallon of gas? Choose the correct answer below. \( \begin{array}{l}12 \mathrm{~km} / \text { liter } \\ 31 \mathrm{mi} / \mathrm{gal} \\ \text { Both are performing equally. }\end{array} \) ?

Ask by Pena Johnston. in the United States
Jan 23,2025

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Answer

The car getting 31 miles per gallon is more fuel-efficient than the one getting 12 kilometers per liter.

Solution

To determine which car is more fuel-efficient, let's convert both measurements to the same unit. 1. **Convert 31 miles per gallon (mi/gal) to kilometers per liter (km/L):** \[ 31 \, \text{mi/gal} \times 1.60934 \, \text{km/mi} \div 3.78541 \, \text{L/gal} \approx 13.18 \, \text{km/L} \] 2. **Compare the two fuel efficiencies:** - **12 km/L** - **31 mi/gal ≈ 13.18 km/L** Since **13.18 km/L** is greater than **12 km/L**, the car that gets **31 miles per gallon** is more fuel-efficient. **Answer:** 31 mi / gal

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Mind Expander

Let’s convert both fuel efficiencies to a common unit and see which one wins the efficiency race! First up, 12 km per liter is about 28.2 miles per gallon (using the conversion: 1 km = 0.621371 miles and 1 liter = 0.264172 gallons). Now, when comparing 28.2 mpg to 31 mpg, we see that 31 miles per gallon is indeed the more efficient choice! So, the car getting 31 miles per gallon takes the trophy for better fuel efficiency. Always double-check those conversions, as a small mistake can lead to an unfair competition! When comparing different units, attention to detail helps avoid misleading conclusions. It's like putting a tortoise against a hare – unless you measure properly, it might just look like they’re even!

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