document.write( "Question 693681: I have a question regarding Applications with motion. The motion formula d=rt
\n" ); document.write( "Word problems, I HATE word problems and am so confused how to set up this problem~\r
\n" ); document.write( "\n" ); document.write( "A private airplane leaves an airport and flies due south at 192 mph. Two hours later a jet leaves the same airport and flies due south at 960 mph. When will the jet overtake the plane?
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Algebra.Com's Answer #427518 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A private airplane leaves an airport and flies due south at 192 mph.
\n" ); document.write( " Two hours later a jet leaves the same airport and flies due south at 960 mph.
\n" ); document.write( " When will the jet overtake the plane?
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\n" ); document.write( "You know the distance formula, just read it carefully and THINK!
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\n" ); document.write( "A good fact to keep in mind is:
\n" ); document.write( "When the jet overtakes the small plane, they will have traveled the same distance;
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\n" ); document.write( "Let t = flying time of small plane
\n" ); document.write( "The large plane started 2 hrs later, therefore
\n" ); document.write( "(t-2) = flying time of jet
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\n" ); document.write( "Write a distance equation
\n" ); document.write( "jet dist = small plane dist
\n" ); document.write( "960(t-2) = 192t
\n" ); document.write( "960t - 1920 = 192t
\n" ); document.write( "960t - 192t = 1920
\n" ); document.write( "768t = 1920
\n" ); document.write( "t = 1920/768
\n" ); document.write( "t = 2.5 hrs after the small plane departs, the jet overtakes it
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\n" ); document.write( "We can prove that to ourselves, find the distance each plane flew
\n" ); document.write( "the jet travel time; 2.5 - 2 = .5hr
\n" ); document.write( "a distance equation for each plane
\n" ); document.write( ".5(960) = 480 mi
\n" ); document.write( "2.5(192) = 480 mi also
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\n" ); document.write( "Did this help? You know much of life involves solving word problems. Not always with numbers, but deciphering what people say to you, is like solving a word problem. It is worth your time to practice and learn how to do them. A lot people on this forum can help you do that.
\n" ); document.write( " Merry Christmas!, Carl
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