Concept explainers
a)
To evaluate: the number of hours did the family took to drive there.
a)
Answer to Problem 41PPE
The number of hours will be given by
Explanation of Solution
Given:
It is given to suppose that a family drives at an average rate of 60 mi/h on the way to visit relatives and then at an average rate of 40 mi/h on the way back. The return trip takes 1h longer than the trip there.
It is known that
It is given that to assume the distance as d miles traveled to visit their relatives.
Let t1 be the time taken by family to reach their relative place.
Then,
So, the number of hours will be given by
b)
To evaluate: the number of hours did it take to make the return trip.
b)
Answer to Problem 41PPE
The number of hours will be given by
Explanation of Solution
Given:
Let t2 be the time taken by family in returning from their relative place.
Then,
So, the number of hours will be given by
c)
To evaluate: the number of hours did it take to make the return trip.
c)
Answer to Problem 41PPE
The total distance is 120mi and the average is 24 mi / h.
Explanation of Solution
Given:
It is known that
It is given that to assume the distance as d miles traveled to visit their relatives.
Let t1 be the time taken by family to reach their relative place.
Then,
Let t2 be the time taken by family in returning from their relative place.
Then,
Now, the total time taken will be sum of t1 and t2,
It is given that return trip takes 1 h longer than the trip there,
So the total distance traveled by family is 120mi.
Now,
Average rate for the trip,
Finding the total time taken by the family,
So,
Average rate,
So, the average rate for the entire trip is 24mi / h.
Chapter 2 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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