document.write( "Question 509344: a motorboat can maintain a constant speed of 16 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 20 minutes the return takes 15 minutes. what is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #341393 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! a motorboat can maintain a constant speed of 16 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 20 minutes the return takes 15 minutes. what is the speed of the current? \n" ); document.write( "----------------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "time = 1/3 hr ; rate = 16-c mph ; distance = r*t = (1/3)(16-c) miles \n" ); document.write( "----- \n" ); document.write( "Downstream DATA: \n" ); document.write( "time = 1/4 hr ; rate = 16+c mph ; distance = r*t = (1/4)(16+c) \n" ); document.write( "-------- \n" ); document.write( "Equation: \n" ); document.write( "distance = distance \n" ); document.write( "(1/3)(16-c) = (1/4(16+c) \n" ); document.write( "---- \n" ); document.write( "4(16-c) = 3(16+c) \n" ); document.write( "64-c = 48+c \n" ); document.write( "16 = 2c \n" ); document.write( "current = 8 mph \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================= \n" ); document.write( " |