Set 8: Linear Equations

Explanation

Answer: C

Two cyclists start from the same point and travel in opposite directions. One goes 15 mph, the other 20 mph. How long until they are 105 miles apart?

✓ Correct

Detailed Explanation

Choice C is correct. Choice A is the correct answer. 1. Combined Speed: $15+ 20 = 35$ mph. 2. Equation: $35t = 105$ 3. Divide by 35: $t = 3$ 4. Verify: $15(3) + 20(3) = 45 + 60 = 105$ ✓ Choice C is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process. Choice B is incorrect because it results from an error in the solution process.

Key Steps:

•

The correct answer is 3

Why others are wrong:

A: Choice A is incorrect and may result from a calculation error.

B: Choice B is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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