3. Kate drives a truck that currently gets 15mpg while Ken's car gets 25mpg. They drive the same number of miles each month - what is their combined average mpg? [Hint: this is not the arithmetic mean of 15 and 25.] If Kate buys a new truck which gets 22mpg, what mpg does Ken's new car need to get so that he saves the same amount of fuel each month? [Hint: consider working with the reciprocal unit of gallons per mile.]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Kate drives a truck that currently gets 15mpg while Ken's car gets 25mpg. They drive
the same number of miles each month - what is their combined average mpg? [Hint:
this is not the arithmetic mean of 15 and 25.]
If Kate buys a new truck which gets 22mpg, what mpg does Ken's new car need
to get so that he saves the same amount of fuel each month? [Hint: consider
working with the reciprocal unit of gallons per mile.]
Transcribed Image Text:3. Kate drives a truck that currently gets 15mpg while Ken's car gets 25mpg. They drive the same number of miles each month - what is their combined average mpg? [Hint: this is not the arithmetic mean of 15 and 25.] If Kate buys a new truck which gets 22mpg, what mpg does Ken's new car need to get so that he saves the same amount of fuel each month? [Hint: consider working with the reciprocal unit of gallons per mile.]
Expert Solution
Given:

Kate and Ken drives a truck that currently gets 15 mpg and 25 mpg respectively.

To find: Combined average and Ken's new car mileage after Kate buys a new car of 22 mpg.

 

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