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) About Me  (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.
8%2A%28x-y%29=96
5%2A%28x%2By%29=96
divide the first eq. by 8
x-y=12
5x%2B5y=96
Multiply the same by 5
5x-5y=60
5x%2B5y=96
Add (and next step subtract )
10x=156
10y=36
...
x=15.6
y=3.6