document.write( "Question 55635: With a head wind, a plane traveled 1000 miles in 4 hours. With the same wind as a tail wind, the return trip took 3 hours 20 minutes. Find the plane's air speed and the wind speed. \n" ); document.write( "
Algebra.Com's Answer #37752 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! With a head wind, a plane traveled 1000 miles in 4 hours. With the same wind as a tail wind, the return trip took 3 hours 20 minutes. Find the plane's air speed( P SAY ) and the wind speed ( W SAY) \n" ); document.write( "LET DISTANCE TRAVELLED = 1000 MILES \n" ); document.write( "RELATIVE SPEED WHILE GOING HEAD WIND = P-W MPH \n" ); document.write( "TIME NEEDED = T = D/R.S = 1000/(P-W) = 4 \n" ); document.write( "P-W=250.................1 \n" ); document.write( "R.S. WHILE GOING TAIL WIND = P+W \n" ); document.write( "TIME NEEDED = 1000/(P+W)=3 HRS 20 MTS = 3+20/60 = 10/3 HRS \n" ); document.write( "P+W =300.......................2 \n" ); document.write( "EQN.1+EQN.2 \n" ); document.write( "2P=550 \n" ); document.write( "P=275 MPH \n" ); document.write( "W = 300-275 = 25 MPH \n" ); document.write( " |