document.write( "Question 1185095: A boat travels between two cities that are 11 miles apart. When going downstream, with the current, the trip takes 11/17 hour(s). Returning upstream, against the current, the boat covers the same distance in 11/15
\n" ); document.write( " hour(s).\r
\n" ); document.write( "\n" ); document.write( "What is the current of the river? \r
\n" ); document.write( "\n" ); document.write( "What is the speed of the boat in still water?
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Algebra.Com's Answer #815847 by ankor@dixie-net.com(22740)\"\" \"About 
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A boat travels between two cities that are 11 miles apart.
\n" ); document.write( " When going downstream, with the current, the trip takes 11/17 hour(s).
\n" ); document.write( " Returning upstream, against the current, the boat covers the same distance in 11/15 hour(s).
\n" ); document.write( ":
\n" ); document.write( "Let s = speed of the boat in still water
\n" ); document.write( "let c = the rate of the current
\n" ); document.write( "then
\n" ); document.write( "(s+c) = speed downstream
\n" ); document.write( "and
\n" ); document.write( "(s-c) = speed upstream
\n" ); document.write( ":
\n" ); document.write( "Write a two dist equations, dist = time * speed
\n" ); document.write( "\"11%2F17\"(s+c) = 11
\n" ); document.write( "\"11%2F15\"(s-c) = 11
\n" ); document.write( ":
\n" ); document.write( "s + c = 11 * \"17%2F11\"
\n" ); document.write( "s + c = 17
\n" ); document.write( "and
\n" ); document.write( "s - c = 11 * \"15%2F11\"
\n" ); document.write( "s - c = 15
\n" ); document.write( "Use elimination
\n" ); document.write( "s + c = 17
\n" ); document.write( "s - c = 15
\n" ); document.write( "-------------addition eliminates c, find s
\n" ); document.write( "2s + 0 = 32
\n" ); document.write( "s = 32/2
\n" ); document.write( "s = 16 mph is the boat speed in still water
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\n" ); document.write( "find the current
\n" ); document.write( "16 + c = 17
\n" ); document.write( "c = 17 - 16
\n" ); document.write( "c = 1 mph is the current
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check the solutions in the equation:\"11%2F17\"(s+c) = 11
\n" ); document.write( "\"11%2F17\"(16+1) = 11
\n" ); document.write( "\"11%2F17\"(17) = 11
\n" ); document.write( "17 cancels
\n" ); document.write( "11 = 11
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