document.write( "Question 865131: A motorboat went 10 miles upstream for 60 minutes. The return trip took only 30 minutes. Assume that the speeds of the boat and current were constant during this round trip. Find each speed of the boat and current as mile per hour. \n" ); document.write( "
Algebra.Com's Answer #521524 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A motorboat went 10 miles upstream for 60 minutes. The return trip took only 30 minutes. Assume that the speeds of the boat and current were constant during this round trip. Find each speed of the boat and current as mile per hour. \n" ); document.write( "*** \n" ); document.write( "let x=speed of boat \n" ); document.write( "let c=speed of current \n" ); document.write( "x+c=speed of boat with current \n" ); document.write( "x-c=speed of boat against current \n" ); document.write( "travel time*speed=distance \n" ); document.write( "60 min=1hr \n" ); document.write( "30 min=.5 hr \n" ); document.write( ".. \n" ); document.write( "1*(x-c)=10 \n" ); document.write( ".5*(x+c)=10 \n" ); document.write( ".. \n" ); document.write( "x-c=10 \n" ); document.write( ".5x+.5c=10 \n" ); document.write( ".. \n" ); document.write( "x-c=10 \n" ); document.write( "x+c=20 \n" ); document.write( "add \n" ); document.write( "2x=30 \n" ); document.write( "x=15 \n" ); document.write( "c=x-10=5 \n" ); document.write( "speed of boat=15 mph \n" ); document.write( "speed of current=5 mph \n" ); document.write( " |