document.write( "Question 224859: An executive drove from home at an average speed of 30mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 60mph. The entire distance was 150 miles. The entire trip took 3 hrs. Find the distance from the airport to the corporate office. \n" ); document.write( "
Algebra.Com's Answer #167968 by ankor@dixie-net.com(22740)\"\" \"About 
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An executive drove from home at an average speed of 30mph 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 60mph.
\n" ); document.write( " The entire distance was 150 miles.
\n" ); document.write( " The entire trip took 3 hrs. Find the distance from the airport to the corporate office.
\n" ); document.write( ":
\n" ); document.write( "Let d = distance from the airport to the office (at 60 mph)
\n" ); document.write( "the entire distance give as 150 mi, therefore:
\n" ); document.write( "(150-d) = distance from home to airport (at 30 mph)
\n" ); document.write( ":
\n" ); document.write( "Write a time equation: Time = \"dist%2Fspeed\"
\n" ); document.write( ":
\n" ); document.write( "drive time + helicopter time = 3 hrs
\n" ); document.write( "\"%28%28150-d%29%29%2F30\" + \"d%2F60\" = 3
\n" ); document.write( "Multiply equation by 60:
\n" ); document.write( "60*\"%28%28150-d%29%29%2F30\" + 60*\"d%2F60\" = 3(60)
\n" ); document.write( "Cancel out denominators
\n" ); document.write( "2(150-d) + d = 180
\n" ); document.write( "300 - 2d + d = 180
\n" ); document.write( ":
\n" ); document.write( "-2d + d = 180 - 300
\n" ); document.write( ":
\n" ); document.write( "-d = -120
\n" ); document.write( "d = 120 mi airport to office
\n" ); document.write( "then
\n" ); document.write( "150 - 120 = 30 min home to airport
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in original equaiton
\n" ); document.write( "30/30 + 120/60 = 3
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