To solve: the system of equations in two variables.
Answer to Problem 1ST
The rate of the jet in still air is
Explanation of Solution
Given information:
A jet travels at a rate of 798 mi/h with the wind. Going against the same wind, the jet travels at a rate of 762 mi/h.
Formula used:
Step1. The problem asks for the rate of the jet in still air and the rate of the wind.
Step2. Let r = the rate in km/h of the jet in still air .
Let w = the rate in km/h of the wind.
Step3. Use the facts of the problem to write two equations.
Step4. Solve the equations.
Calculation:
Let r = the rate in km/h of the jet in still air .
Let w = the rate in km/h of the wind.
With the wind | |
Against the wind |
According to the equation,
Adding both the equations we get,
Subtracting the equations we get,
Hence, the rate of the jet in still air is
Chapter 9 Solutions
Algebra: Structure And Method, Book 1
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