SOLUTION: The current in a stream moves at a speed of 4 km/ h. A boat travels 17 km upstream and 17 km downstream in a total time of 10 hr. What is the speed of the boat in still​ wate
Algebra.Com
Question 1057766: The current in a stream moves at a speed of 4 km/ h. A boat travels 17 km upstream and 17 km downstream in a total time of 10 hr. What is the speed of the boat in still water?
Answer by jorel555(1290) (Show Source): You can put this solution on YOUR website!
Let s be the speed of the boat in still water. Then:
17/(s+4) + 17/(s-4)=10
17(s-4)+17(s+4)=10sē-160
10sē-34s-160=0
5sē-17s-80=0
Using the quadratic formula, i.e. , we get two roots: 6.04626276242 and -2.64626276242. Throwing out the negative result, we get the speed of the boat in still water to be 6.04626 kph. ☺☺☺☺
RELATED QUESTIONS
The current in a stream moves at a speed of 5 km/h. A boat travels 39 km upstream and 39... (answered by Alan3354)
The current in a stream moves at a speed of 4mi/h. A boat travels 4 miles upstream and 28 (answered by jorel1380)
The current in a stream moves at a speed of 3km/h. A boat travels 40 km upstream and 40... (answered by josmiceli)
The current of a stream moves at a speed of 5km/hr. The boat travels 31 km upstream and... (answered by stanbon)
I need some help in solving this problem. The current ina stream moves at a speed of 2... (answered by stanbon,solver91311)
The current in a stream moves at a speed of 8 km/h. A boat travels 15 km upstream and 15 (answered by jorel555,ikleyn)
A boat moves 28 km/h in still water. It travels 80 km upstream and 80 km downstream in a... (answered by mananth)
The speed of a boat in still water is 10 km/h. The boat travels 12 km upstream and 28 km... (answered by jorel1380)
The speed of a boat in still water is 9 km/h. The boat travels 72 km upstream and 72 km... (answered by ikleyn)