SOLUTION: A boat travels 1 km upstream and 1km back. The time for the round trip is 10 hours. The speed of the stream is 2 km/hr. What is the speed of the boat in still water?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: A boat travels 1 km upstream and 1km back. The time for the round trip is 10 hours. The speed of the stream is 2 km/hr. What is the speed of the boat in still water?      Log On

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Question 118104: A boat travels 1 km upstream and 1km back. The time for the round trip is 10 hours. The speed of the stream is 2 km/hr. What is the speed of the boat in still water?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x=speed of boat in still water ___ time=distance/rate

(1/(x+2))+(1/(x-2))=10 ___ (x-2)+(x+2)=10(x-2)(x+2) ___ 4x=10x^2-40

0=5x^2-2x-20