SOLUTION: Julie and George can row at the same rate in stillwater. They leave Carsten at the same time, Julie is going upstream and George going downstream. Julie rows for 2 hours and arrive

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Question 1076401: Julie and George can row at the same rate in stillwater. They leave Carsten at the same time, Julie is going upstream and George going downstream. Julie rows for 2 hours and arrives in Colton, three miles from Karsten. George rown for 3 hours and arrives at Burnburg, 13.5 miles from Karsten. Find the rate of the current and the rate each rows in stillwater
Found 2 solutions by addingup, jorel1380:
Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website!
3/2+x = 13.5/3-x
3/2+1.5 = 13.5/3-1.5
1.5+1.5 = 4.5-1.5
The speed of the current is 1.5
Julie and George both rows in still water at 3 miles/hour

Answer by jorel1380(3719) (Show Source):
You can put this solution on YOUR website!
Let r be the rate they can row in still water, and c be the rate of the current. Then:
2(r-c)=3;
and 3(r+c)=13.5. So:
2r-2c=3
3r+3c=13.5
6r-6c=9
6r+6c=27
12r=36
r=3
c=3/2
They both row at 3 mph; and the current is 1.5 mph. ☺☺☺☺