document.write( "Question 764575: A cruise boat travels 96 miles downstream for 2 hours and returns to its starting point upstream in 6 hours. What is the speed of the stream? \n" ); document.write( "

Algebra.Com's Answer #465537 by stanbon(75887) $\"\"$ $\"About$

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A cruise boat travels 96 miles downstream for 2 hours and returns to its starting point upstream in 6 hours. What is the speed of the stream?
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\n" ); document.write( "Downstream DATA:
\n" ); document.write( "distance = 96 miles ; time = 2 hrs ; rate = 96/2 = 48 mph
\n" ); document.write( "---
\n" ); document.write( "Upstream DATA:
\n" ); document.write( "distance = 96 miles ; time = 4 hrs ; rate = 96/4 = 24 mph
\n" ); document.write( "-------------
\n" ); document.write( "Equations:
\n" ); document.write( "b + c = 48 mph
\n" ); document.write( "b - c = 24 mph
\n" ); document.write( "-------------------
\n" ); document.write( "Add and solve for \"b\":
\n" ); document.write( "2b = 72
\n" ); document.write( "boat speed = 36 mph in still water
\n" ); document.write( "-------
\n" ); document.write( "Solve for \"c\":
\n" ); document.write( "b + c = 48
\n" ); document.write( "36+c =48
\n" ); document.write( "c = 12 mph (speed of the current)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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