SOLUTION: When a boat travels upstream (against the current), it takes 2 hours to travel 12 kilometers. The return trip downstream (with the current) takes 1 hour. Find the speed of the bo

Algebra ->  Graphs -> SOLUTION: When a boat travels upstream (against the current), it takes 2 hours to travel 12 kilometers. The return trip downstream (with the current) takes 1 hour. Find the speed of the bo      Log On


   

Question 347785: When a boat travels upstream (against the current), it takes 2 hours to travel 12 kilometers. The return trip downstream (with the current) takes 1 hour. Find the speed of the boat in still water and the rate of the current.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Downstream:
rate = s+%2B+c
12+=+%28s+%2B+c%29%2A1
Upstream:
rate = s+-+c
12+=+%28s+-+c%29%2A2
--------------
(1) s+%2B+c+=+12
2s+-+2c+=+12
(2) s+-+c+=+6
Add (1) and (2)
2s+=+18
s+=+9
s+%2B+c+=+12
c+=+12+-+9
c+=+3
The speed of the boat in still water
is 9 km/hr
The speed of thr current is 3 km/hr