SOLUTION: a boat takes twice as long to travel 20 miles upstream as it does to travel 14 miles downstream in a river that flows at 5 mph. at what speed does the boat travel in still in water

Algebra ->  Equations -> SOLUTION: a boat takes twice as long to travel 20 miles upstream as it does to travel 14 miles downstream in a river that flows at 5 mph. at what speed does the boat travel in still in water      Log On


   



Question 518272: a boat takes twice as long to travel 20 miles upstream as it does to travel 14 miles downstream in a river that flows at 5 mph. at what speed does the boat travel in still in water?write the equation. solve the problem.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
a boat takes twice as long to travel 20 miles upstream as it does to travel 14 miles downstream in a river that flows at 5 mph. at what speed does the boat travel in still in water?write the equation. solve the problem.
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let x=speed of boat in still water
x+5=speed of boat downstream
x-5=speed of boat upstream
travel time=distance/speed
20/(x-5)=2(14/(x+5)=28/(x+5)
20(x+5)=28(x-5)
20x+100=28x-140
8x=240
x=30
ans:
speed of boat in still water=30 mph