6
algebraA swimmer swims 6 miles downstream in a river in 1 hour. The return upstream takes 2 hours. What is the river's current speed?
A
1 mph
B
1.5 mph
C
2 mph
D
2.5 mph
Correct Answer: B
Choice B is the correct answer. Let = swimmer speed in still water and = current speed.
System:
Step 1: Simplify:
Step 2: Add equations:
Step 3: Find :
Solution: Current is 1.5 mph
Verification: Down: ✓, Up: ✓
💡 Strategic Tip: Current aids downstream, opposes upstream.
**Other choices fail verification.