Question 353675
Rate*Time=Distance
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Let the boat speed in still water be B, the current speed C.
Downstream:
{{{(B+C)*8=208}}}
1.{{{B+C=208/8=26}}}
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Upstream:
{{{(B-C)*26=208}}}
2.{{{B-C=8}}}
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Add eq. 1 and eq. 2,
{{{B+C+B-C=26+8}}}
{{{2B=34}}}
{{{highlight(B=17)}}}mph
Then use either equation to solve for {{{C}}}.
{{{17+C=26}}}
{{{highlight(C=9)}}}mph