1. 4.3c
Algebra 2

2. It’s important to draw a picture of what is happening:
Word problems
Motion Problems
We use the equation
(rate × time = distance).
Example 1: A train leaves Sioux City traveling east at 30 km/h. Two hours later, another train leaves Sioux City traveling in the same direction on a parallel track at 45 km/h. How far from Sioux City will the faster train catch the slower one?
It’s important to draw a picture of what is happening:
Slow train:
Fast train:
They both went exactly the same distance.
Rate
Time
Distance
Slow 30 t d
Fast 45
t – 2

3. Rate
Time
Distance
Slow 30 t d
Fast 45
t – 2
Two equations:

4. Go back to the original question.
Example 1: A train leaves Sioux City traveling east at 30 km/h. Two hours later, another train leave Sioux City traveling in the same direction on a parallel track at 45 km/h.
How far from Sioux City will the faster train catch the slower one?

5. Perimeter problems
Perimeter = distance around a figure
For a rectangle,
Example: The perimeter of a rectangle is 384m. The length is 82m greater than the width. Find both dimensions.
Heading:
Length =
Width =

6. Classwork:
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