.
Let "x" be the rate on the way to the game.
Then you have this "time" equation
- = 1
saying that the difference in times going and back is 1 hour.
Multiply both sides by x*(x-17).
102x - 102*(x-17) = x*(x-17
102*17 = x^2 - 17x
x^2 - 17x - 1734 = 0
= = .
Only positive root makes sense x = = 51.
ANSWER. The rate on the way to the soccer game was 51 mph.
CHECK. + = - = 3 - 2 = 1 hour. ! Correct !
Solved.
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Using "time" equation is the STANDARD method of solving such problems.
It is simple, logical, straightforward, economic and robust (work in standard way for any input data).
Going in this way, you will never make a mistake - the logic of the method
prevents you of making mistakes.
From this lesson, learn on how to write, how to use and how to solve a "time" equation.
To see many other similar solved problems, look into the lessons
- Had a car move faster it would arrive sooner
- How far do you live from school?
- Earthquake waves
- Time equation: HOW TO use, HOW TO write and HOW TO solve it
in this site.