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Test
Math
Domain
Algebra
Skill
Linear equations in two variables
Difficulty
Medium
ID: 9c7741c6
Modded SAT Question Bank by Abdullah Mallik

On a 210-mile trip, Cameron drove at an average speed of 60 miles per hour for the first x hours. He then completed the trip, driving at an average speed of 50 miles per hour for the remaining y hours. If x equals 1, what is the value of y ?


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Correct Answer:
Rationale

The correct answer is 3. It’s given that Cameron drove 60 miles per hour for x hours; therefore, the distance driven at this speed can be represented by 60 x. He then drove 50 miles per hour for y hours; therefore, the distance driven at this speed can be represented by 50 y. Since Cameron drove 210 total miles, the equation 60 x plus 50 y, equals 210 represents this situation. If x equals 1, substitution yields 60 times 1, plus 50 y, equals 210, or 60 plus 50 y, equals 210. Subtracting 60 from both sides of this equation yields 50 y equals 150. Dividing both sides of this equation by 50 yields y equals 3..

Question Difficulty: Medium
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