9
algebra

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 Answer: D

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 + 4x + 80 = 400 \rightarrow 8x + 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 calculation error.

Choice Ahoice C is incorrect because calculation error.