document.write( "Question 499860: boat A left a port at 7:00a.m.traveling at 30 miles per hour at 9:00a.m. boat B left the same port traveling at 40mph what time did boat B overtake boat A? \n" ); document.write( "
Algebra.Com's Answer #337881 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! d = rt is the basic distance equation. \n" ); document.write( ". \n" ); document.write( "Boat A travels distance 'd' in time 't' at 30 mph. \n" ); document.write( "Boat B travels distance 'd' in time 't-2' at 40 mph. \n" ); document.write( ". \n" ); document.write( "30t = 40 (t-2) \n" ); document.write( "30t = 40t - 80 \n" ); document.write( "-10t = -80 \n" ); document.write( "t = 8 \n" ); document.write( "t-2 = 6 \n" ); document.write( ". \n" ); document.write( "Boat A travels for 8 hrs at 30 mph for a distance of 240 miles. \n" ); document.write( "Boat B travels for 6 hrs at 40 mph for a distance of 240 miles. \n" ); document.write( ". \n" ); document.write( "Since the two boats have traveled the same distance, then Boat B has caught up with Boat A. \n" ); document.write( ". \n" ); document.write( "Re-read the question to make sure you answer it. \n" ); document.write( ". \n" ); document.write( "What time did Boat B overtake Boat A? \n" ); document.write( "9 a.m. + 6 hrs = 3 p.m. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |