document.write( "Question 1183219: Hello\r
\n" ); document.write( "\n" ); document.write( "Please help with this average speed question.
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\n" ); document.write( "An executive drove from home at an average speed of 30 mph to an airport where a helicopter was waiting.
\n" ); document.write( "The executive boarded the helicopter and flew to the corporate offices at an average speed of 60 mph. The entire distance was 150 miles; the entire trip took three hours.
\n" ); document.write( "Find the distance from the airport to the corporate offices.\r
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Algebra.Com's Answer #813421 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "An executive drove from home at an average speed of 30 mph to an airport where a helicopter was waiting.
\n" ); document.write( "The executive boarded the helicopter and flew to the corporate offices at an average speed of 60 mph.
\n" ); document.write( "The entire distance was 150 miles; the entire trip took three hours.
\n" ); document.write( "Find the distance from the airport to the corporate offices.
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document.write( "Let x be the distance from the airport to the corporate office (in miles).\r\n" );
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document.write( "Then the distance from home to the airport is  (150-x) miles.\r\n" );
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document.write( "Time driving is    hours.\r\n" );
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document.write( "Time flying is    hours.\r\n" );
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document.write( "The total time equation is\r\n" );
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document.write( "     +  = 3  hours.\r\n" );
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document.write( "To solve, multiply both sides by 60. You will get\r\n" );
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document.write( "    2*(150-x) + x = 3*60\r\n" );
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document.write( "    300 - 2x + x = 180\r\n" );
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document.write( "     300 - 180   = 2x - x\r\n" );
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document.write( "        120      = x.\r\n" );
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document.write( "The problem is just solved.\r\n" );
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document.write( "The distance from the airport to the corporate office is 120 miles.     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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