document.write( "Question 85430: The speed of a stream is 3mph. A boat travels 8 miles upstream in the same time it takes to travel 14 miles downstream. What is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #61624 by rajagopalan(174)\"\" \"About 
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Let stream speed = 3 mph(given)
\n" ); document.write( "Let Boat speed in still water - x mph
\n" ); document.write( "Then
\n" ); document.write( "speed of boat up Stream=x-3
\n" ); document.write( "speed of boat down stream=x+3\r
\n" ); document.write( "\n" ); document.write( "then
\n" ); document.write( "Time taken for up stream journey=dist/speed=8/(x-3)
\n" ); document.write( "Time taken for down stream journey=dist/speed=14/(x+3)
\n" ); document.write( "But both these times are equal
\n" ); document.write( "equating 8/(x-3)=14/(x+3)
\n" ); document.write( "8(x+3)=14(x-3)
\n" ); document.write( "8x+24=14x-42
\n" ); document.write( "42+24=6x
\n" ); document.write( "66=6x
\n" ); document.write( "11=x
\n" ); document.write( "x=11
\n" ); document.write( "The speed of boat in still water =11 mph
\n" ); document.write( "And this verifies the condition upstream 8 miles in one hour and
\n" ); document.write( "down stream 14 miles in 14/(11+3)=14/14=1 hour
\n" ); document.write( "Ok\r
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