SOLUTION: A motorboat takes 3 hours to travel to it's destination with a current of 5 mph. The return trip against the same current takes 4 hours. How fast is the motorboat in still water?

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Question 767529: A motorboat takes 3 hours to travel to it's destination with a current of 5 mph. The return trip against the same current takes 4 hours. How fast is the motorboat in still water?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A motorboat takes 3 hours to travel to it's destination with a current of 5 mph. The return trip against the same current takes 4 hours. How fast is the motorboat in still water?
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let x=speed of motorboat in still water
x+5=speed of motorboat with the current
x-5=speed of motorboat against the current
distance=speed*travel time
3(x+5)=4(x-5)
3x+15=4x-20
x=35
How fast is the motorboat in still water? 35 mph