document.write( "Question 769712: A motorboat can maintain a constant speed of 16 miles per hour in still water. The boat makes a certain trip upstream in 20 minutes; the return trip takes 15 minutes. What is the speed of the current?
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Algebra.Com's Answer #469000 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+c+\" = the speed of the current
\n" ); document.write( "Let \"+d+\" = the one-way distance of the trip
\n" ); document.write( "You must convert the minutes to hours
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\n" ); document.write( "Going upstream:
\n" ); document.write( "(1) \"+d+=+%28+16+-+c+%29%2A%28+20%2F60+%29+\"
\n" ); document.write( "Going downstream:
\n" ); document.write( "(2) \"+d+=+%28+16+%2B+c+%29%2A%28+15%2F60+%29+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+%28+16+-+c+%29%2A%28+20%2F60+%29+=+%28+16+%2B+c+%29%2A%28+15%2F60+%29+\"
\n" ); document.write( "(2) \"+%28+16+-+c+%29%2A%28+1%2F3+%29+=+%28+16+%2B+c+%29%2A%28+1%2F4+%29+\"
\n" ); document.write( "Multiply both sides by \"+12+\"
\n" ); document.write( "(2) \"+4%2A%28+16+-+c+%29+=+3%2A%28+16+%2B+c+%29+\"
\n" ); document.write( "(2) \"+64+-+4c+=+48+%2B+3c+\"
\n" ); document.write( "(2) \"+7c+=+16+\"
\n" ); document.write( "(2) \"+c+=+16%2F7+\" mi/hr
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+d+=+%28+16+%2B+16%2F7+%29%2A%28+15%2F60+%29+\"
\n" ); document.write( "(2) \"+d+=+16%2A%28+1+%2B+1%2F7+%29%2A%28+1%2F4+%29+\"
\n" ); document.write( "(2) \"+d+=+4%2A%28+8%2F7+%29+\"
\n" ); document.write( "(2) \"+d+=+32%2F7+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+=+%28+16+-+16%2F7+%29%2A%28+20%2F60+%29+\"
\n" ); document.write( "(1) \"+d+=+16%2A%28+1+-+1%2F7+%29%2A%28+1%2F3+%29+\"
\n" ); document.write( "(1) \"+d+=+16%2A%28+6%2F7+%29%2A%281%2F3+%29+\"
\n" ); document.write( "(1) \"+d+=+16%2A%28+2%2F7+%29+\"
\n" ); document.write( "(1) \"+d+=+32%2F7+\"
\n" ); document.write( "OK\r
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