2
algebraTwo 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 = time in hours.
Combined rate: mph
Equation:
Solution: 1.5 hours
Verification: In 1.5 hours: miles ✓
💡 Strategic Tip: When moving apart, add speeds to find separation rate.
**Other choices fail verification.