document.write( "Question 426820: A boat goes upstream 600 m, moving 30 m/min through the water. The boat travels back downstream to the starting point, this time only going 20 m/min through the water. The total time spent is 75 minutes. How fast was the current flowing? \n" ); document.write( "
Algebra.Com's Answer #297159 by Alan3354(69443)\"\" \"About 
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A boat goes upstream 600 m, moving 30 m/min through the water. The boat travels back downstream to the starting point, this time only going 20 m/min through the water. The total time spent is 75 minutes. How fast was the current flowing?
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\n" ); document.write( "b = boat's speed relative to the water
\n" ); document.write( "c = current
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\n" ); document.write( "Upstream + downstream = 75 mins
\n" ); document.write( "600/(30 - c) + 600/(20 + c) = 75
\n" ); document.write( "One equation and one variable
\n" ); document.write( "\"600%2820%2Bc%29+%2B+600%2830-c%29+=+75%2820%2Bc%29%2830-c%29+=+75%28600%2B10c-c%5E2%29\"
\n" ); document.write( "\"8%2820%2Bc%29+%2B+8%2830-c%29+=+%28600%2B10c-c%5E2%29\"
\n" ); document.write( "\"160+%2B+240+=+%28600%2B10c-c%5E2%29\"
\n" ); document.write( "\"c%5E2+-+10c+-+200+=+0\"
\n" ); document.write( "(c-20)*(c+10) = 0
\n" ); document.write( "c = 20 m/min
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