4

Set 11: Linear Equations

Explanation

Answer: D

Two cars are 400 miles apart. They travel towards each other. Car A is 20 mph faster than Car B. They meet in 4 hours. What is Car A's speed?

A.

50

B.

70

C.

40

D.

60

✓ Correct

Detailed Explanation

Choice D is correct. Choice Ahoice C is the correct answer. 1. Define: B=xB = x, A=x+20A = x + 20. 2. Equation: 4x+4(x+20)=4004x + 4(x + 20) = 400 3. Simplify: 4x+4x+80=4008x+80=4004x + 4 x + 80 = 400 \rightarrow 8 x + 80 = 400 4. Subtract 80: 8x=320x=408x = 320 \rightarrow x = 40 5. Car A: 40+20=6040+ 20 = 60 Choice Ahoice B is incorrect because this is Car B. 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 60

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

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