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)![]() ![]() ![]() You can put this solution on YOUR website! The equation that you need to use is: \n" ); document.write( ". \n" ); document.write( "D = R*T \n" ); document.write( ". \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. \n" ); document.write( ". \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. \n" ); document.write( ". \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. \n" ); document.write( ". \n" ); document.write( "Substitute the total distance (2000 miles) and the total time (5 hours) into the equation \n" ); document.write( "and you get: \n" ); document.write( ". \n" ); document.write( "2000 = R*5 \n" ); document.write( ". \n" ); document.write( "or in more standard form: \n" ); document.write( ". \n" ); document.write( "5*R = 2000 \n" ); document.write( ". \n" ); document.write( "Solve for R by dividing both sides of this equation by 5 which is the multiplier of R to get: \n" ); document.write( ". \n" ); document.write( "5*R/5 = 2000/5 \n" ); document.write( ". \n" ); document.write( "and after doing the division the equation simplifies to: \n" ); document.write( ". \n" ); document.write( "R = 2000/5 = 400 miles/hour \n" ); document.write( ". \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. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem a little better. \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |