document.write( "Question 1189377: Antony leaves Kingstown at 2:00 P.M. and drives to Queensville, 256 km distant, at 72 km/h. At 2:15 P.M. Helen leaves Queensville and drives to Kingstown at 64 km/h. At what time do they pass each other on the road? \n" ); document.write( "
Algebra.Com's Answer #820725 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Antony leaves Kingstown at 2:00 P.M. and drives to Queensville, 256 km distant, at 72 km/h. \n" ); document.write( " At 2:15 P.M. Helen leaves Queensville and drives to Kingstown at 64 km/h. \n" ); document.write( " At what time do they pass each other on the road? \n" ); document.write( ": \n" ); document.write( "When they pass each other, the sum of their distances will be 256 km \n" ); document.write( "15 min = .25 hr \n" ); document.write( "let t = the travel time of Antony when they meet \n" ); document.write( "then \n" ); document.write( "(t-.25) = the travel time of Helen \n" ); document.write( "; \n" ); document.write( "72t + 64(t-.25) = 256 \n" ); document.write( "72t + 64t - 16 = 256 \n" ); document.write( "136t = 256 + 16 \n" ); document.write( "136t = 272 \n" ); document.write( "t = 272/136 \n" ); document.write( "t = 2 hrs is Antony travel time from 2 PM \n" ); document.write( "They should meet at 4 PM \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Find the actual dist each traveled and check their sum. \n" ); document.write( "1.75 * 64 = 112 km \n" ); document.write( "2 * 72 = 144 \n" ); document.write( "----------------- \n" ); document.write( "total dist: 256 km \n" ); document.write( " |