Math  /  Algebra

QuestionUnit 4: Rational Expressions and Equations Assignment Booklet 4
10. Consider each scenario: a. A high-speed passenger train in Europe completes an 800 km trip in 3 hours. The train travels the first 600 km at an average speed that was 100 km/h100 \mathrm{~km} / \mathrm{h} faster than the last 200 km of the trip. If xx represents the average speed of the train on the second part of the trip, then an equation to represent this situation is: 600x+100+200x=3\frac{600}{x+100}+\frac{200}{x}=3

Identify all restrictions on the variable xx in this context. (2 marks)

Studdy Solution
For the term 200x \frac{200}{x} , the denominator x0 x \neq 0 .
The restrictions on x x are:
1. x>0 x > 0 (since speed must be positive)
2. x100 x \neq -100 (since x+1000 x + 100 \neq 0 )

Thus, the restrictions are x>0 x > 0 .

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