document.write( "Question 347982: Two airplanes leave the same airport one hour apart going in the same direction. The first airplane is traveling at 400m/h and the second is travelling at 500m/h. How long will the second plane be in the air before overtaking the first?\r
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Algebra.Com's Answer #248820 by checkley77(12844) ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "D=400T FOR THE FIRST PLANE TO LEAVE. \n" ); document.write( "D=500(T-1) FOR THE SECOND PLANE. \n" ); document.write( "BECAUSE THE DISTANCES ARE THE SAME WE SET THESE 2 EQUATION EQUAL. \n" ); document.write( "400T=500(T-1) \n" ); document.write( "400T=500T-500 \n" ); document.write( "400T-500T=-500 \n" ); document.write( "-100T=-500 \n" ); document.write( "T=-500/-100 \n" ); document.write( "T=5 HOURS AFTER THE FIRST PALNE LEAVES THEY WILL MEET. \n" ); document.write( "5-1=4 HOURS THE SECOND PLANE WILL BE IN THE AIR BEFORE OVERTAKING THE FIRST PLANE. \n" ); document.write( "PROOF: \n" ); document.write( "400*5=500(5-1) \n" ); document.write( "2,000=500*4 \n" ); document.write( "2,000=2,000 \n" ); document.write( " |