document.write( "Question 898003: A flight averages 460 miles per hour. The return flight averages 500 miles per hour due to a tailwind. The total flying time is 4.8 hours. How long is each flight? Explain. \n" ); document.write( "

Algebra.Com's Answer #544664 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A flight averages 460 miles per hour.
\n" ); document.write( " The return flight averages 500 miles per hour due to a tailwind.
\n" ); document.write( " The total flying time is 4.8 hours. How long is each flight?
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\n" ); document.write( "let d = the one-way distance
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\n" ); document.write( "Write a time equation: time = dist/speed
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\n" ); document.write( "flight time + return time = 4.8 hrs
\n" ); document.write( " $\"d%2F460\"$ + $\"d%2F500\"$ = 4.8
\n" ); document.write( "Multiply by 46000 to clear the denominators
\n" ); document.write( "46000* $\"d%2F460\"$ + 46000* $\"d%2F500\"$ = 46000(4.8)
\n" ); document.write( "cancel the denominators
\n" ); document.write( "100d + 92d = 220800
\n" ); document.write( "192d = 220800
\n" ); document.write( "d = 220800/192
\n" ); document.write( "d = 1150 mi the distance of each flight
\n" ); document.write( "Find the time of each
\n" ); document.write( "1150/460 = 2.5 hrs
\n" ); document.write( "1150/500 = 2.3 hrs (return)
\n" ); document.write( "------------------------------
\n" ); document.write( "check total: 4.8 hrs
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