SOLUTION: 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?
Algebra.Com
Question 208299: 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?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
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
RELATED QUESTIONS
the speed of a stream is 2 mph. A boat travels 6 miles upstream in the same time it takes (answered by lwsshak3)
the speed of a stream is 3 mph. A boat travels 3 miles upstream in the same time it takes (answered by mananth,richwmiller)
The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it... (answered by drk,stanbon,checkley77)
the speed of a stream is 4 mph. if a boat travels 74 miles downstream in the same time... (answered by mananth)
The speed of a stream is 4 mph. If a boat travels 46 miles downstream in the same time... (answered by Alan3354)
The speed of a stream is 4 mph. A boat travels 6 miles upstream in the same time it takes (answered by stanbon)
The speed of a stream is 4 mph. A boat travels 11 miles upstream in the same time it... (answered by stanbon)
The speed of a stream is 4 mph. If a boat travels 52 miles downstream in the same time... (answered by josmiceli)
The speed of a stream is 3 mph. A boat travels 5 miles upstream in the same time it takes (answered by nerdybill)