document.write( "Question 763625: A jet takes 8 hours to travel a distance of 6272 against the wind. The return trip takes 7 hours with the wind. What is the rate of the jet in still air and what is the rate of the wind? \n" ); document.write( "
Algebra.Com's Answer #465005 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A jet takes 8 hours to travel a distance of 6272 against the wind. \n" ); document.write( " The return trip takes 7 hours with the wind. \n" ); document.write( " What is the rate of the jet in still air and what is the rate of \n" ); document.write( " the wind? \n" ); document.write( ": \n" ); document.write( "Let s = the rate of the jet in still air \n" ); document.write( "Let w = the rate of the wind \n" ); document.write( "then \n" ); document.write( "(s-w) = ground speed against the wind \n" ); document.write( "(s+w) = ground speed with the wind \n" ); document.write( ": \n" ); document.write( "Write a distance equation for each way (dist = speed * time \n" ); document.write( "8(s-w) = 6272 \n" ); document.write( "7(s+w) = 6272 \n" ); document.write( "We can simplify both equations, divide the 1st by 8, the 2nd by 7 \n" ); document.write( "s - w = 784 \n" ); document.write( "s + w = 896 \n" ); document.write( "-------------adding eliminates w find s \n" ); document.write( "2s = 1680 \n" ); document.write( "s = 1680/2 \n" ); document.write( "s = 840 jet speed in still air \n" ); document.write( "and you can find the rate of the wind \n" ); document.write( "840 + w = 896 \n" ); document.write( ": \n" ); document.write( "Check your solutions both ways \n" ); document.write( " \n" ); document.write( " |