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.]
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![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.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11c7d6ae-845d-452b-b3ad-bfa2193a1986%2F032ff236-b133-40f4-be9e-bc66acc7e05c%2F6biy3rp_processed.jpeg&w=3840&q=75)
Given that
Kate truck gets 15mpg and
Ken's car gets 25mpg
Now both Kate truck and Ken's car gets 1mpg =
Thus the combined average of Kate truck and Ken's car for 1 day is mpg =9 mpg
For one month the combined average is 291mpg
Kate's new truck gets 22 mpg
Let Ken's new car gets x mpg
Now, the combined average of the mileage = Kate's new trucks 1mpg mileage+Ken's new cars 1 mpg mileage
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