document.write( "Question 455551: Here's my question.\r
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document.write( "\"An aircraft travels at a speed of 550mph during the 1st half of it's journey and 500mph during the second half of it's journey. Total flight time is 05:00 hours. Based on this determine the distance between the airport of departure and arrival.\"\r
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document.write( "Sounds straightforward enough, my answer was 2625 miles. However the correct answer is 2619 miles?! I need clarification here, am I right or do I need to loose 6 miles somehow?\r
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document.write( "Pete M \n" );
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Algebra.Com's Answer #312745 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! An aircraft travels at a speed of 550mph during the 1st half of it's journey and \n" ); document.write( " 500mph during the second half of it's journey. \n" ); document.write( " Total flight time is 05:00 hours. \n" ); document.write( " Based on this determine the distance between the airport of departure and arrival.\" \n" ); document.write( ": \n" ); document.write( "Let d = distance between the airports \n" ); document.write( ": \n" ); document.write( "Write a time equation: time = dist/speed \n" ); document.write( ": \n" ); document.write( "550mph time + 500mph time = 5 hrs \n" ); document.write( " \n" ); document.write( "multiply by 5500, \n" ); document.write( "5500* \n" ); document.write( "cancel the denominators \n" ); document.write( "10(.5d) + 11(.5d) = 27500 \n" ); document.write( "5d + 5.5d = 27500 \n" ); document.write( "10.5d = 27500 \n" ); document.write( "d = \n" ); document.write( "d = 2619 mi \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You can prove this to yourself, find the time at each speed \n" ); document.write( "1309.5/550 = 2.38 hrs \n" ); document.write( "1309.5/500 = 2.62 hrs \n" ); document.write( "---------------------- \n" ); document.write( "total time: 5.0 hrs \n" ); document.write( " \n" ); document.write( " |