document.write( "Question 193799: A jet flew from Tokyo to Bangkok, a distance of 4800km. On the return trip, the speed was decreased by 200km/h. If the difference in the times of the flights was 2 hours, what was the jet's speed from Bangkok to Tokyo? (13 marks) \n" ); document.write( "
Algebra.Com's Answer #145499 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A jet flew from Tokyo to Bangkok, a distance of 4800km. On the return trip, the speed was decreased by 200km/h. If the difference in the times of the flights was 2 hours, what was the jet's speed from Bangkok to Tokyo? (13 marks) \n" ); document.write( "---------------------------------------------- \n" ); document.write( "T to B DATA: \n" ); document.write( "distance = 4800 km ; rate = x km/h ; time = d/r = 4800/x hrs \n" ); document.write( "---------------------------------------------- \n" ); document.write( "B to T DATA \n" ); document.write( "distance = 4800 km ; rate = x-200 km/h ; time = 4800/(x-200) hrs \n" ); document.write( "---------------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "slower time - faster time = 2 hrs \n" ); document.write( "4800/(x-200) 4800/x = 2 \n" ); document.write( "4800x - 4800(x-200) = 2x(x-200) \n" ); document.write( "960000 = 2x^2-400x \n" ); document.write( "x^2 - 200x - 480000 = 0 \n" ); document.write( "(x - 800)(x + 600) = 0 \n" ); document.write( "x = 800 km/h (speed from B to T) \n" ); document.write( "====================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |