document.write( "Question 532666: The speed of a stream is 5 mph. If a boat travels 72 miles downstream in the same time that it takes to travel 36 miles upstream, what is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #350894 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The speed of a stream is 5 mph. If a boat travels 72 miles downstream in the same time that it takes to travel 36 miles upstream, what is the speed of the boat in still water? \n" ); document.write( "---- \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 72 miles ; rate = b+5 mph ; time = 72/(b+5) hrs. \n" ); document.write( "---- \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = 36 miles ; rate = b-5 mph ; time = 36/(b-5) hrs \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "time = time \n" ); document.write( "72(b+5) = 36/(b-5) \n" ); document.write( "------- \n" ); document.write( "2/(b+5) = 1/(b-5) \n" ); document.write( "Cross-multiply to get: \n" ); document.write( "2b-10 = b+5 \n" ); document.write( "b = 15 mph (speed of the boat in still water) \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=================== \n" ); document.write( " |