document.write( "Question 541108: At noon, two Mississippi stream boats are 126 miles apart. At 6 p.m., they pass each other going in opposite directions. If one stream boat travels 9 miles per hour faster than the other, find the speed of both boats. \n" ); document.write( "
Algebra.Com's Answer #354055 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! The boats are converging at the sum of their speeds. \n" ); document.write( "Boat 1 is going at speed = x \n" ); document.write( "Boat 2 is going at speed = x+9 \n" ); document.write( "In 6 hrs (noon to 6 p.m.) they travel 126 miles. \n" ); document.write( "d = r*t \n" ); document.write( "126 = r * 6 \n" ); document.write( "r = 126/6 = 21 \n" ); document.write( ". \n" ); document.write( "Their combined speeds are x+x+9 = 2x+9 \n" ); document.write( ". \n" ); document.write( "2x+9 = 21 \n" ); document.write( "2x = 12 \n" ); document.write( "x = 6 mph = speed of the slower boat \n" ); document.write( "x+9 = 15 mph = speed of the faster boat \n" ); document.write( ". \n" ); document.write( "To check, how far does each travel in 6 hr? \n" ); document.write( "6*6 = 36 \n" ); document.write( "6*15 = 90 \n" ); document.write( "36+90 = 126 \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |