document.write( "Question 1059922: Suppose that the wind is blowing at approximately 18 miles per hour. You want to make a round-trip flight (on the same day) of 1,295 miles (in each direction). Flying against the wind, the trip takes about 11 minutes longer than flying with the wind. Find the speed of your plane in still air, and determine how long each leg of the flight actually takes. \n" ); document.write( "
Algebra.Com's Answer #675012 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Suppose that the wind is blowing at approximately 18 miles per hour. You want to make a round-trip flight (on the same day) of 1,295 miles (in each direction). Flying against the wind, the trip takes about 11 minutes longer than flying with the wind. Find the speed of your plane in still air, and determine how long each leg of the flight actually takes. \n" ); document.write( "----- \n" ); document.write( "With the wind DATA: \n" ); document.write( "dist = 1295 miles ; rate = p + 18 mph ; time = 1295/(p+18) hrs \n" ); document.write( "--------------- \n" ); document.write( "Against the wind DATA: \n" ); document.write( "dist = 1295 miles ; rate p-18 mph ; time = 1295/(p-18) hrs \n" ); document.write( "---------------------- \n" ); document.write( "Equation: \n" ); document.write( "against wind - with wind = 11 min \n" ); document.write( "--------------------------------- \n" ); document.write( "1295/(p-18) - 1295/(p+18) = 11/60 \n" ); document.write( "------------------------ \n" ); document.write( "60*1295(p+18) - 60*1295(p-18) = 11(p^2-18^2) \n" ); document.write( "-------------------------------------------------- \n" ); document.write( "2*60*1295*18 = 11p^2 - 11*18^2 \n" ); document.write( "----- \n" ); document.write( "etc. \n" ); document.write( "---- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |