document.write( "Question 993623: A pilot flew a jet from A to B, a difference of 2500 km. On the return trip, the average speed was 20% faster than the out-bound trip. The round-trip took 9 hours and 10 minutes. What was the speed (in kph) from A to B? \n" ); document.write( "
Algebra.Com's Answer #612846 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A pilot flew a jet from A to B, a difference of 2500 km. On the return trip, the average speed was 20% faster than the out-bound trip. The round-trip took 9 hours and 10 minutes. What was the speed (in kph) from A to B? \n" ); document.write( "------ \n" ); document.write( "A to B DATA: \n" ); document.write( "dist = 2500 km ; rate = 1.2x ; time = 2500/1.2x hrs \n" ); document.write( "----- \n" ); document.write( "B to A DATA: \n" ); document.write( "dist = 2500 km ; rate = x km/h ; time = 2500/x hrs \n" ); document.write( "--- \n" ); document.write( "Equation: \n" ); document.write( "2500/1.2x + 2500/x = 9.167 hrs \n" ); document.write( "2500x + 2500*1.2x = 9.167x(1.2)x \n" ); document.write( "----- \n" ); document.write( "5500x = 11x^2 \n" ); document.write( "11x(x-500) = 0 \n" ); document.write( "---- \n" ); document.write( "Positive solution: \n" ); document.write( "x = 500 \n" ); document.write( "--- \n" ); document.write( "Ans: A to B rate = 1.2*500 = 600 km/h \n" ); document.write( "------------ \n" ); document.write( "cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------- \n" ); document.write( " |