SOLUTION: I found a very similar problem to this one but when I went through all the steps the answer came out negative and Im pretty sure you cant have a negative speed? Alvin paddled for

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Question 149180: I found a very similar problem to this one but when I went through all the steps the answer came out negative and Im pretty sure you cant have a negative speed?
Alvin paddled for 4 hours with a 6km/h current to reach a campsite. The return trip against the current took 10 hours. Find the speed of Alvin's canoe in still water.

Found 2 solutions by edjones, josmiceli:
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
st=d, s=speed in still water, t=time, d=distance
4(s+6)=d
10(s-6)=d
4(s+6)=10(s-6)
4s+24=10s-60
84=6s
s=14 km/h in still water.
.
Ed

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the speed of Alvin's canoe
Let = the length of the trip
Going with the current:

hrs is given
km
Going against the current:
km
Make the 2 expressions for equal to each other




The speed of the boat in still water is 14 km/hr
check:


km
and


km
OK

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