2
algebra

Two hikers start from the same trailhead walking in opposite directions. Hiker A walks at 3 mph, Hiker B at 4 mph. After how many hours will they be 10.5 miles apart?

A

1 hour

B

1.5 hours

C

2 hours

D

2.5 hours

Correct Answer: B

Choice B is the correct answer. Opposite directions → add speeds.

Let tt = time in hours.

Combined rate: 3+4=73 + 4 = 7 mph

Equation: 7t=10.57t = 10.5t=1.5t = 1.5

Solution: 1.5 hours

Verification: In 1.5 hours: 3(1.5)+4(1.5)=4.5+6=10.53(1.5) + 4(1.5) = 4.5 + 6 = 10.5 miles ✓

💡 Strategic Tip: When moving apart, add speeds to find separation rate.

**Other choices fail verification.