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The speed of a stream is 3 mph. A boat travels 4 miles upstream in the same time it takes it to
travel 10 miles downstream.
What is the speed of the boat in still water?
Solution
D=RT
T=D/R
T=4/(R-3)
T=10/(R+3)
4/(R-3)=10/(R+3)
10(R-3)=4(R+3)
10R-30=4R+12
10R-4R=12+30
6R=42
R=42/6
R=7 MPH IS THE SPEED OF THE BOAT.
PROOF:
4/(7-4)=10/(7+3)
4/4=10/10
1=1

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  • 1. The speed of a stream is 3 mph. A boat travels 4 miles upstream in the same time it takes it to travel 10 miles downstream. What is the speed of the boat in still water? Solution D=RT T=D/R T=4/(R-3) T=10/(R+3) 4/(R-3)=10/(R+3) 10(R-3)=4(R+3) 10R-30=4R+12 10R-4R=12+30 6R=42 R=42/6 R=7 MPH IS THE SPEED OF THE BOAT. PROOF: 4/(7-4)=10/(7+3) 4/4=10/10 1=1