3

Set 11: Linear Equations (Advanced)

Explanation

Answer: B

A train travels 60 mph. A second train leaves 1 hour later traveling 80 mph. How long until the second train catches the first?

A.

2

B.

3

✓ Correct
C.

5

D.

4

Detailed Explanation

Choice B is correct. Choice Ahoice D is the correct answer. 1. Define: Time for 2 nd train = tt. Time for 1 st = t+1t+1. 2. Distance Equal: 80t=60(t+1)80t = 60(t + 1) 3. Simplify: 80t=60t+6080t = 60 t + 60 4. Subtract 60 t: 20t=6020t = 60 5. Divide by 20: t=3t = 3 6. Verify: 80(3)=24080(3)=240, 60(4)=24060(4)=240 ✓ Choice Ahoice C is incorrect because it results from an error in the solution process. Choice Ahoice D is incorrect because it results from an error in the solution process. Choice Ahoice C 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.
C: Choice C 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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