document.write( "Question 380160: A passenger bus traveling at the rate of 70km/hr leaves the station 2 hrs. after a cargo truck left and overtakes it in 5 hrs. What is the rate of the cargo truck? \n" ); document.write( "
Algebra.Com's Answer #269819 by mananth(16946)![]() ![]() You can put this solution on YOUR website! cargo truck speed be x km/h \n" ); document.write( "..\r \n" ); document.write( "\n" ); document.write( "they are travelling one behind the other \n" ); document.write( "passenger bus catches up = 70-x mph. \n" ); document.write( ".. \n" ); document.write( "cargo truck has already traveled 2 hours when the bus starts. \n" ); document.write( "so it has traveled 2x km. \n" ); document.write( ".. \n" ); document.write( "The bus catches up after time t=5 \n" ); document.write( ".. \n" ); document.write( "t = d/r \n" ); document.write( "5=2x/(70-x) \n" ); document.write( "multiply by (70-x) \n" ); document.write( "5(70-x)=2x \n" ); document.write( "350-5x=2x \n" ); document.write( "+5x \n" ); document.write( "350=2x+5x \n" ); document.write( "350=7x \n" ); document.write( "/7 \n" ); document.write( "350/7 = x \n" ); document.write( "50=x \n" ); document.write( ".. \n" ); document.write( "the speed of cargo truck = 50 km/hr. \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |