document.write( "Question 1098919: A jet bomber traveling 500 miles per hour arrived over its target at the same time as its fighter jet escort which left the same base 1/2 hour after the bomber took off. How many hours did it take a jet bomber to reach the target if the fighter jet traveled 600 miles per hour? \n" ); document.write( "
Algebra.Com's Answer #713304 by josmiceli(19441)\"\" \"About 
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What is the jet bomber's head start in miles:
\n" ); document.write( "\"+d%5B1%5D+=+500%2A%28+1%2F2+%29+\"
\n" ); document.write( "\"+d%5B1%5D+=+250+\" mi
\n" ); document.write( "-------------------------
\n" ); document.write( "Start a stopwatch when the fighter jet leaves
\n" ); document.write( "Let \"+t+\" = time in hrs on stopwatch when
\n" ); document.write( "the fighter jet catches the jet bomber
\n" ); document.write( "Let \"+d+\" = distance in miles the fighter
\n" ); document.write( "jet travels until it catches up with jet bomber
\n" ); document.write( "------------------------------------------
\n" ); document.write( "Equation for jet bomber:
\n" ); document.write( "(1) \"+d+-+d%5B1%5D+=+500t+\"
\n" ); document.write( "Equation for fighter jet:
\n" ); document.write( "(2) \"+d+=+600t+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) \"+d+-+250+=+500t+\"
\n" ); document.write( "(1) \"+d+=+500t+%2B+250+\"
\n" ); document.write( "Plug (2) into (1)
\n" ); document.write( "(1) \"+600t+=+500t+%2B+250+\"
\n" ); document.write( "(1) \"+100t+=+250+\"
\n" ); document.write( "(1) \"+t+=+2.5+\"
\n" ); document.write( "-------------------
\n" ); document.write( "The jet bomber travels for \"+.5+%2B+2.5+=+3+\" hrs
\n" ); document.write( "before it reaches the target
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+d+=+600t+\"
\n" ); document.write( "(2) \"+d+=+600%2A2.5+\"
\n" ); document.write( "(2) \"+d+=+1500+\" mi
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+-+250+=+500t+\"
\n" ); document.write( "(1) \"+d+-+250+=+500%2A2.5+\"
\n" ); document.write( "(1) \"+d+=+1250+%2B+250+\"
\n" ); document.write( "(1) \"+d+=+1500+\" mi
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
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