9
algebra

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?

A

4

B

2

C

3

D

5

Correct Answer: C

Choice Dhoice A is the correct answer.

  1. Combined Speed: 15+20=3515 + 20 = 35 mph.
  2. Equation: 35t=10535t = 105
  3. Divide by 35: t=3t = 3
  4. Verify: 15(3)+20(3)=45+60=10515(3) + 20(3) = 45 + 60 = 105

Choice Dhoice C is incorrect because calculation error.

Choice Dhoice D is incorrect because calculation error.

Choice Dhoice B is incorrect because calculation error.