document.write( "Question 747409: A round trip in a helicopter lasted 4.5 hours. The helicopter flew away from the airport at 100 miles per hour and returned at 5 miles per hour. In miles what was the helicopters greatest distance from the airport. \n" ); document.write( "

Algebra.Com's Answer #454905 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A round trip in a helicopter lasted 4.5 hours.
\n" ); document.write( " The helicopter flew away from the airport at 100 miles per hour and returned at 5 miles per hour.
\n" ); document.write( " In miles what was the helicopters greatest distance from the airport.
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\n" ); document.write( "Let d = furthest distance from the airport, (point of return)
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\n" ); document.write( "Write a time equation; time = dist/speed
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\n" ); document.write( " $\"d%2F100\"$ + $\"d%2F5\"$ = 4.5
\n" ); document.write( "multiply equation by 100, results:
\n" ); document.write( "d + 20d = 100(4.5)
\n" ); document.write( "21d = 450
\n" ); document.write( "d = 450/21
\n" ); document.write( "d = 21.43 miles furthest dist from airport
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\n" ); document.write( "Confirm this by finding the actual time each way
\n" ); document.write( "21.43/100 = .214 hrs
\n" ); document.write( "21.43/5 = 4.286
\n" ); document.write( "----------------
\n" ); document.write( "total time: 4.5 hrs \n" ); document.write( "

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