
Concept explainers
(a)
Write expressions for the time spent at that speed and for the time spent on the other highway.
(a)

Answer to Problem 49SR
Explanation of Solution
Given:
A trip between two towns takes 4 hours under ideal conditions. The first 150 miles of the trip is on an interstate, and the last 130 miles is on a highway with a speed limit that is 10 miles per hour less than on the interstate.
If a represents the speed limit on the interstate, write expressions for the time spent at that speed and for the time spent on the other highway.
Concept Used:
Distance traveled on the interstate is 150 miles.
Calculation:
Distance traveled on the interstate is 150 miles.
So, the time spent on the interstate is
Distance traveled on highways is 130 miles. Speed on high way is
So, the time spent on the highways is
Thus, the time spent on the highways is
(b)
Write and solve an equation to find the speed limits on the two highways.
(b)

Answer to Problem 49SR
Explanation of Solution
Given:
A trip between two towns takes 4 hours under ideal conditions. The first 150 miles of the trip is on an interstate, and the last 130 miles is on a highway with a speed limit that is 10 miles per hour less than on the interstate.
Write and solve an equation to find the speed limits on the two highways.
Concept Used:
Total time taken for the trip is 4 hours.
The required equation:
Calculation:
The required equation:
Solve for x:
So, the speed on the interstate is 75 mph.
Thus, the speed on the highway is 75 − 10 = 65 mph
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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