document.write( "Question 648179: At 10:30 am two planes leave Houston, one flying east at 560 km/h and the other flying west at 640 km/h. At what time will they be 2100 km apart? \n" ); document.write( "
Algebra.Com's Answer #406592 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! Let t = the amount of time the planes travel \n" ); document.write( "Let d1 = distance travelled by east bound plane \n" ); document.write( "Let d2 = distance travelled by the west bound plane \n" ); document.write( "Formula to use \n" ); document.write( "(1) d = r*t, where d is the distance travelled, km, in time t, hr, when travelling at a rate of r km/hr \n" ); document.write( "For the first plane \n" ); document.write( "(2) d1 = 560*t \n" ); document.write( "For the second plane \n" ); document.write( "(3) d2 = 640*t \n" ); document.write( "The total distance travelled or distance apart after t hr is \n" ); document.write( "(4) d1 + d2 = 2100 \n" ); document.write( "Substituting (2) and (3) into (4) yields \n" ); document.write( "(5) 560*t + 640*t = 2100 or \n" ); document.write( "(6) 1200*t = 2100 or \n" ); document.write( "(7) t = 7/4 \n" ); document.write( "Answer: The planes will be 2100km apart at 12:15pm. \n" ); document.write( " |