A boat travels 48 miles downstream in 3 hours. The return trip upstream takes 4 hours. What is the speed of the current?
1 mph
2 mph
3 mph
4 mph
Correct Answer: B
Choice B is the correct answer. Let = boat speed in still water and = current speed.
Analysis:
- Downstream speed = (current helps)
- Upstream speed = (current opposes)
- Distance = Speed × Time
Step 1: Set up the system:
Step 2: Simplify:
Step 3: Add the equations:
Step 4: Find :
Solution: Current speed is 2 mph
Verification: Downstream: ✓, Upstream: ✓
💡 Strategic Tip: Current problems: downstream = boat + current, upstream = boat - current.
Choice A is incorrect because with : upstream speed would be .
Choice C is incorrect because with : downstream speed would be .
Choice D is incorrect because with : upstream speed would be ✓ but downstream would be .