document.write( "Question 1182603: A commuter plane flew to a small town from a major airport. The plane's average speed flying to the small town was 250 mph, and its average speed returning to the major airport was 150 mph. The total flying time was 4 hours. Find the distance between the two airports. \n" ); document.write( "

Algebra.Com's Answer #812687 by ikleyn(52810) $\"\"$ $\"About$

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\n" ); document.write( "A commuter plane flew to a small town from a major airport.
\n" ); document.write( "The plane's average speed flying to the small town was 250 mph, and its average speed
\n" ); document.write( "returning to the major airport was 150 mph. The total flying time was 4 hours.
\n" ); document.write( "Find the distance between the two airports.
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document.write( "Let d be one-way distance.\r\n" );
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document.write( "Time to flight to there is    hours.\r\n" );
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document.write( "Time to flight back is    hours.\r\n" );
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document.write( "Total time equation is\r\n" );
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document.write( "     +  = 4  hours.\r\n" );
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document.write( "The setup is done.\r\n" );
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document.write( "Now our task is to solve it.\r\n" );
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document.write( "Multiply both sides by 750. You will get\r\n" );
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document.write( "    3d + 5d = 3000\r\n" );
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document.write( "      8d    = 3000\r\n" );
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document.write( "        d   = 3000/8 = 375 miles.\r\n" );
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document.write( "ANSWER.  One way distance is 375 miles.\r\n" );
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document.write( "CHECK.   +  = 1.5 hours + 2.5 hours = 4 hours.    ! Correct !\r\n" );
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