SOLUTION: a boat traveled 170 miles downstream and back. the trip downstream took 10 hours. the trip back took 34 hours. what is the speed of the boat in still water? what is the speed of th
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Question 912273: a boat traveled 170 miles downstream and back. the trip downstream took 10 hours. the trip back took 34 hours. what is the speed of the boat in still water? what is the speed of the current? Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! boat traveled 170 miles downstream and back. the trip downstream took 10 hours. the trip back took 34 hours. what is the speed of the boat in still water? what is the speed of the current?
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let x=speed of boat in still water
let c=speed of current
(x+c)speed of boat downstream
(x-c)speed of boat upstream
travel time*speed=distance
..
10*(x+c)=170
34(x-c)=170
...
10x+10c=170
34x-34c=170
..
34x+34c=578 (mult. eq by 3.4)
34x-34c=170
subtract
68c=408
c=6
what is the speed of the current? 6 mph
c=6.04
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