A new car may be purchased with either a gasoline or a diesel engine The diesel engine gets 32 mpg The gas engine gets 23 mpg Gasoline costs $3.69 per gallon Diesel fuel costs $3.54 per gallon The diesel engine costs $427.65 more than a gasoline engine How far must you drive a car with a diesel engine to pay off the extra cost of that engine

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9 August, 00:09

A new car may be purchased with either a gasoline or a diesel engine The diesel engine gets 32 mpg The gas engine gets 23 mpg Gasoline costs $3.69 per gallon Diesel fuel costs $3.54 per gallon The diesel engine costs $427.65 more than a gasoline engine How far must you drive a car with a diesel engine to pay off the extra cost of that engine

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Emily Bowman · Answer 1

We must drive 8,553 miles to pay off the extra cost of the diesel engine

Explanation:

Let's use simple logic and put the numbers in it to solve this problem. Each gallon of diesel fuel gives us 32 miles and each gallon of gasoline gives us 23 miles. On the other side, each gallon of diesel costs $3.54. That means to get 32 miles we have to spend $3.54, thus each mile costs $3.54/32=$0.11 when using diesel.

Each gallon of gasoline costs $3.69, it means each mile costs $3.69/23=$0.16 when using gasoline. The difference

$0.16-$0.11=$0.05 are the savings per mile when using diesel instead of gasoline. Since the diesel engine is $427.65 more expensive than the gasoline engine, we must drive $427,65/0.05=8,553 miles to pay off the extra cost of the diesel engine.