document.write( "Question 471806: A boy rows his boat 8 km downstream in 1 hour and 4 minutes, and returns in 2 2/7 hour at what rate will he row in still water? what is the rate of the current ? \n" ); document.write( "

Algebra.Com's Answer #323540 by stanbon(75887) $\"\"$ $\"About$

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A boy rows his boat 8 km downstream in 1 hour and 4 minutes, and returns in 2 2/7 hour at what rate will he row in still water? what is the rate of the current ?
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\n" ); document.write( "Downstream DATA:
\n" ); document.write( "distance = 8 km ; time = (64/60) hrs ; rate = 8/(64/60) = 7.5 mph
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\n" ); document.write( "Upstream DATA:
\n" ); document.write( "distance = 8 km ; time = 16/7 hrs ; rate = 8/(16/7) = 3.5 mph
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\n" ); document.write( "Equations:
\n" ); document.write( "b + c = 7.5
\n" ); document.write( "b - c = 3.5
\n" ); document.write( "----
\n" ); document.write( "2b = 11 mph
\n" ); document.write( "b = 5.5 mph (speed of the boat in still water)
\n" ); document.write( "---
\n" ); document.write( "Solve for \"c\":
\n" ); document.write( "b + c = 7.5 mph
\n" ); document.write( "5.5 + c = 7.5 mph
\n" ); document.write( "c = 2 mph (speed of the current)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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