SOLUTION: A fish boat can travel 60 km with a 2.5-km/hr current in 2 hr less time than it can travel 60 km against the current. Determine the speed of the fishing boat in still water.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A fish boat can travel 60 km with a 2.5-km/hr current in 2 hr less time than it can travel 60 km against the current. Determine the speed of the fishing boat in still water.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1050250: A fish boat can travel 60 km with a 2.5-km/hr current in 2 hr less time than it can travel 60 km against the current. Determine the speed of the fishing boat in still water.
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let r be the rate of the boat in still water. Then:
60/(r+2.5)+2=60/(r-2.5)
60(r-2.5)+2(rē-6.25)=60(r+2.5)
60r-150+2rē-12.5=60r+150
2rē-312.5=0
4rē-625=0
(2r+25)(2r-25)=0
r=12.5, -12.5
The rate of the boat in still water is 12.5 km/h. ☺☺☺☺