document.write( "Question 100258: An airplane flies 1000 miles due east in 2 hours and 1000 miles due south in 3 hours. What is the average speed of the airplane? \n" ); document.write( "
Algebra.Com's Answer #73014 by bucky(2189)\"\" \"About 
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The equation that you need to use is:
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\n" ); document.write( "D = R*T
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\n" ); document.write( "in which D is the total distance flown, R is the Rate or Speed, and T is the total time required
\n" ); document.write( "for this travel.
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\n" ); document.write( "The plane flies 1000 miles on one leg plus another 1000 miles on the second leg of this flight.
\n" ); document.write( "Therefore, the total distance is 1000 + 1000 = 2000 miles.
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\n" ); document.write( "The first leg of the flight takes 2 hours and the second leg of the flight takes 3 hours.
\n" ); document.write( "Therefore, the total time of flight is 2 + 3 = 5 hours.
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\n" ); document.write( "Substitute the total distance (2000 miles) and the total time (5 hours) into the equation
\n" ); document.write( "and you get:
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\n" ); document.write( "2000 = R*5
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\n" ); document.write( "or in more standard form:
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\n" ); document.write( "5*R = 2000
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\n" ); document.write( "Solve for R by dividing both sides of this equation by 5 which is the multiplier of R to get:
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\n" ); document.write( "5*R/5 = 2000/5
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\n" ); document.write( "and after doing the division the equation simplifies to:
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\n" ); document.write( "R = 2000/5 = 400 miles/hour
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\n" ); document.write( "So the answer to this problem is that the average speed of the plane for this 5 hour flight
\n" ); document.write( "is 400 miles per hour.
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\n" ); document.write( "Hope this helps you to understand the problem a little better.
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