Question 4 Answer & Explanation - SAT Algebra

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algebra

A runner starts at the 10-mile marker and runs toward the finish line at 6 mph. Another runner starts at the 0-mile marker and runs at 8 mph. When does the second runner catch the first?

$5$ hours

$2$ hours

$4$ hours

$10$ hours

Correct Answer: A

Choice A is the correct answer. Relative speed.

Runner 1: $d = 6t + 10$ .
Runner 2: $d = 8t$ .
Equate: $8t = 6t + 10$ .
Solve: $2t = 10 \rightarrow t = 5$ .

💡 Strategic Tip: Gap (10) divided by Speed Difference (2) = Time (5).

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.

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Linear Functions Set 98

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