document.write( "Question 203274: A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200mph that had a 2-hour head start. How far from the starting point are the planes? \n" ); document.write( "

Algebra.Com's Answer #153368 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A jet plane traveling at 500 mph overtakes a propeller plane traveling at
\n" ); document.write( " 200mph that had a 2-hour head start.
\n" ); document.write( " How far from the starting point are the planes?
\n" ); document.write( ":
\n" ); document.write( "find the travel times, then find the distance from that
\n" ); document.write( "t = travel time of the jet
\n" ); document.write( "(t+2) = travel time of the prop
\n" ); document.write( ":
\n" ); document.write( "When the jet overtakes the prop, they will have traveled the same distance
\n" ); document.write( "Write a distance equation Dist = speed * time
\n" ); document.write( ":
\n" ); document.write( "500t = 200(t+2)
\n" ); document.write( "500t = 200t + 400
\n" ); document.write( "500t - 200t = 400
\n" ); document.write( "300t = 400
\n" ); document.write( "t = $\"400%2F300\"$
\n" ); document.write( "t = $\"4%2F3\"$ , or 1 $\"1%2F3\"$ hrs
\n" ); document.write( ":
\n" ); document.write( "Find the dist: $\"4%2F3\"$ * 500 = 666.67 mi, dist of the jet
\n" ); document.write( "Check the dist: $\"10%2F3\"$ * 200 = 666.67 mi, dist of the prop \n" ); document.write( "

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