document.write( "Question 63435: If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph? \n" ); document.write( "
Algebra.Com's Answer #44142 by uma(370)![]() ![]() ![]() You can put this solution on YOUR website! Distance covered by the plane moving north in 2 hrs = 150 * 2 \n" ); document.write( " = 300 miles\r \n" ); document.write( "\n" ); document.write( "Distance covered by the plane moving west in 2 hrs = 200 * 2 \n" ); document.write( " = 400 miles \n" ); document.write( "So at 3 PM both the planes would have covered the above distances.\r \n" ); document.write( "\n" ); document.write( "We know that North and West are perpendicular to each other.\r \n" ); document.write( "\n" ); document.write( "So by Pythagorean theorem,\r \n" ); document.write( "\n" ); document.write( "distance between them = sqrt(300^2 + 400^2)\r \n" ); document.write( "\n" ); document.write( " = sqrt(900 + 1600)\r \n" ); document.write( "\n" ); document.write( " = sqrt(2500) \n" ); document.write( " = 50\r \n" ); document.write( "\n" ); document.write( "THus they are 50 miles at 3 PM\r \n" ); document.write( "\n" ); document.write( "Good luck!!! \n" ); document.write( " \n" ); document.write( " |