SOLUTION: WITH THE CURRENT, A SAILBOAT TRAVELS 9 KM IN 3 HRS. HOWEVER IF IT TRAVELS AGAINST THE CURRENT, IT TAKES 3 TIMES TO SAIL THE SAME DISTANCE, HOW FAST IS THE BOAT SAILING ON STILL WAT

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: WITH THE CURRENT, A SAILBOAT TRAVELS 9 KM IN 3 HRS. HOWEVER IF IT TRAVELS AGAINST THE CURRENT, IT TAKES 3 TIMES TO SAIL THE SAME DISTANCE, HOW FAST IS THE BOAT SAILING ON STILL WAT      Log On

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Question 162661: WITH THE CURRENT, A SAILBOAT TRAVELS 9 KM IN 3 HRS. HOWEVER IF IT TRAVELS AGAINST THE CURRENT, IT TAKES 3 TIMES TO SAIL THE SAME DISTANCE, HOW FAST IS THE BOAT SAILING ON STILL WATER? HOW FAST DOES THE RIVER FLOW?
Answer by josmiceli(9669) About Me  (Show Source):
You can put this solution on YOUR website!
s= speed in still water
c= speed of current
9+=+%28s+%2B+c%29%2A3
9+=+%28s+-+c%29%2A9
-------------------
(1) 9+=+3s+%2B+3c
(2) 9+=+9s+-+9c
Divide both sides of (2) by 3 and add it to (1)
(1) 9+=+3s+%2B+3c
(2) 3+=+3s+-+3c
12+=+6s
s+=+2 km/hr
(1) 3+=+3%2A2+-+3c
-3+=+-3c
c+=+1km/hr
The speed of the boat in still water is 2 km/hr
The speed of the current is 1 km/hr