9
algebra

Person A walks 3 mph. Person B runs 6 mph. If A starts 2 hours early, when does B catch A?

A

1

B

3

C

4

D

2

Correct Answer: D

Choice Bhoice D is the correct answer.

  1. Define: Time B = tt, Time A = t+2t + 2.
  2. Distance Equal: 6t=3(t+2)6t = 3(t + 2)
  3. Simplify: 6t=3t+66t = 3t + 6
  4. Subtract 3t: 3t=63t = 6
  5. Divide by 3: t=2t = 2
  6. Verify: 12=3(4)=1212 = 3(4) = 12

Choice Bhoice D is incorrect because calculation error.

Choice Bhoice A is incorrect because calculation error.

Choice Bhoice C is incorrect because calculation error.