Concept explainers
a.
To write: An expression for the distance they will be from Houston in x hours.
a.
Answer to Problem 31E
An expression for the distance is
Explanation of Solution
Given information: They are 700 miles from Houston, they are 400 miles from home and they are travelling at an average speed of 60 miles per hours.
Total distance between Houston and the home is
Hence, an expression for the distance is
b.
To write: An expression for the distance they will be from home in x hours.
b.
Answer to Problem 31E
The distance from home in x is
Explanation of Solution
Given information: They are 700 miles from Houston, they are 400 miles from home and they are travelling at an average speed of 60 miles per hours.
The speed is 60mph and therefore the distance travelled or distance from home in x is
Hence, the distance from home in x is
c.
To use: The expression from part(a) and (b)and solve an equation to find the number of hours.
c.
Answer to Problem 31E
The number of hours is
Explanation of Solution
Given information: They are 700 miles from Houston, they are 400 miles from home and they are travelling at an average speed of 60 miles per hours.
Therefore the number of hours to drive until exactly halfway between Houston and home is:
Rearrange :
Hence, the number of hours is
d.
To find: They drive before they are exactly halfway between Houston and their home.
d.
Answer to Problem 31E
Explanation of Solution
Given information: They are 700 miles from Houston, they are 400 miles from home, they are travelling at an average speed of 60 miles per hours and they travel the 700 miles at a speed of 45 miles per hours.
Halfway between the house and Houston is 550 miles from the house. they first 400 miles are travelled at a speed of 60mph which took
Chapter 3 Solutions
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