SOLUTION: a crew team can row 48 km downstream in 4 hours, but it takes 6 hours to row that same distance upstream. find the rate the team rows in still water, and the rate of the river.

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Question 310774: a crew team can row 48 km downstream in 4 hours, but it takes 6 hours to row that same distance upstream. find the rate the team rows in still water, and the rate of the river.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let s = the rate in still water
Let r = the rate of the river
given:
Rate rowing downstream = 48%2F4+=+12 km/hr
Time to row upstream = 6 hrs
-----------------------------
Rowing downstream:
48+=+12%2At%5Bd%5D
t%5Bd%5D+=+4 hrs
48+=+%28s+%2B+r%29%2A4
Rowing upstream:
48+=+%28s+-+r%29%2A6
----------------
4s+%2B+4r+=+6s+-+6r
2s+=+10r
s+=+5r
and, since
48+=+%28s+%2B+r%29%2A4
s+%2B+r+=+12
5r+%2B+r+=+12
6r+=+12
r+=+2
and
s+=+5r
s+=+10
The rate the team rows in still water is 10 km/hr
The rate of the river is 2 km/hr