SOLUTION: A boat travels 6 miles upstream in 3 hours. Going downstream, it can travel 24 miles in the same amount of time. Find the speed of the current and the speed of the boat in still

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Question 1060060: A boat travels 6 miles upstream in 3 hours. Going downstream, it can travel 24 miles in the same amount of time. Find the speed of the current and the speed of the boat in still water
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
                SPEED      TIME     DISTANCE
 
UPSTREAM        r-c         3        6

DOWNSTREAM      r+c         3        24


system%283r-3c=6%2C3r%2B3c=24%29

Add corresponding members eliminates c.

6r=30
highlight%28r=5%29
You can use that to find c.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

A boat travels 6 miles upstream in 3 hours. Going downstream, it can travel 24 miles in the same amount of time. Find the speed of the current and the speed of the boat in still water 
Average speed upstream: matrix%281%2C4%2C+6%2F3%2C+or%2C+2%2C+hours%29

Average speed downstream: matrix%281%2C4%2C+24%2F3%2C+or%2C+8%2C+hours%29

S - C = 2 ------ eq (i)

S + C = 8 ------ eq (ii)

2S = 10 -------- Adding eqs (ii) & (i)

S, or speed in still water = highlight_green%28matrix%281%2C4%2C+10%2F2%2C+or%2C+5%2C+mph%29%29

Nothing complex....very easy!!