document.write( "Question 1154220: A boat can travel 44 mph in still water. If it travels 147 miles with the current in the same length of time it travels 117 miles against the current, what is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #776624 by MathTherapy(10810)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "A boat can travel 44 mph in still water. If it travels 147 miles with the current in the same length of time it travels 117 miles against the current, what is the speed of the current?
\n" ); document.write( "
Let speed of current be C
\n" );
document.write( "Then average speed downstream (with current) = 44 + C
\n" );
document.write( "Also, average speed upstream (against current) = 44 - C
\n" );
document.write( "We then get the following TIME equation: \"matrix%281%2C3%2C+147%2F%2844+%2B+C%29%2C+%22=%22%2C+117%2F%2844+-+C%29%29\"
\n" );
document.write( "\"matrix%281%2C3%2C+49%2F%2844+%2B+C%29%2C+%22=%22%2C+39%2F%2844+-+C%29%29\" ------ Reducing fractions by factoring out GCF, 3, in numerator
\n" );
document.write( "39(44 + C) = 49(44 - C) ------ Cross-multiplying
\n" );
document.write( "39(44) + 39C = 49(44) - 49C
\n" );
document.write( "39C + 49C = 49(44) - 39(44)
\n" );
document.write( "88C = 10(44)
\n" );
document.write( "C, or 
\n" );
document.write( "It's as easy as A-B-C! \n" );
document.write( "
\n" );