document.write( "Question 864811: the current of a stream moves at 5 mph. a boat travels 31 mi upstream and 31 mi down stream in a total time if 20 hours what is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #521306 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
the current of a stream moves at 5 mph. a boat travels 31 mi upstream and 31 mi down stream in a total time if 20 hours what is the speed of the boat in still water?
\n" ); document.write( "***
\n" ); document.write( "let x=speed of boat in still water.
\n" ); document.write( "x+5=speed of boat downstream.
\n" ); document.write( "x-5=speed of boat upstream.
\n" ); document.write( "travel time=distance/speed
\n" ); document.write( "\"31%2F%28x%2B5%29%2B31%2F%28x-5%29=20\"
\n" ); document.write( "LCD:(x+5)(x-5)
\n" ); document.write( "\"31%28x-5%29%2B31%28x%2B5%29=20%28x-5%29%28x%2B5%29\"
\n" ); document.write( "\"31x-155%2B31x%2B155=20%28x%5E2-25%29\"
\n" ); document.write( "\"62x=20x%5E2-500%29\"
\n" ); document.write( "20x^2-62x-500=0
\n" ); document.write( "10x^2-31x-250=0
\n" ); document.write( "solve for x by quadratic formula: \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=10, b=-31, c=-250
\n" ); document.write( "ans:
\n" ); document.write( "x≈6.78
\n" ); document.write( "speed of the boat in still water? 6.78 mph
\n" ); document.write( "
\n" );