SOLUTION: A boat traveled 96 miles in 8 hours against the current returned to its starting point. The boat returned to its starting point along the same course, traveling with the current. T

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Question 424364: A boat traveled 96 miles in 8 hours against the current returned to its starting point. The boat returned to its starting point along the same course, traveling with the current. The return trip took 5 hours. Find the speed of the current and the speed of the boat in still water.
Can you show the way to work it out too?

Answer by dnanos(83)   (Show Source): You can put this solution on YOUR website!
Let x the speed of the boat in still water.
and y the speed of the current.
When traveled against the current the speed has been x-y.
The return speed was by x+y speed.
Multiply the time by the speed and obtain the distance 96 miles.


divide the first eq. by 8


Multiply the same by 5


Add (and next step subtract )
10x=156
10y=36
...
x=15.6
y=3.6

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