SOLUTION: A barge on the Sacramento River travels 24 miles upstream in 3 hours. The return trip takes the barge only two hours. Find the rate of the barge in still water.
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Question 912759: A barge on the Sacramento River travels 24 miles upstream in 3 hours. The return trip takes the barge only two hours. Find the rate of the barge in still water.
You can put this solution on YOUR website! r*t=d
with the current
(r+c)*2=24
(r+c)=24/2
r+c=12
against the current
(r-c)*3=24
(r-c)=24/3
r-c=8
r+c=12
add
r+r=12+8
2r=20
r=10 mph rate still water
10-c=8
c=10-8
c=2 mph current
check
(10+2)*2=24
12*2=24
24=24
ok
(r-c)*3=24
(10-2)*3=24
8*3=24
24=24
ok
