document.write( "Question 942667: with a head wind , a plane traveled 1000 miles in 4 hours. with the same wind as the tail wind, the return trip took 3 hours and 20 minutes. find the planes speed and the wind speed. \n" ); document.write( "
Algebra.Com's Answer #574684 by lwsshak3(11628)\"\" \"About 
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with a head wind , a plane traveled 1000 miles in 4 hours. with the same wind as the tail wind, the return trip took 3 hours and 20 minutes. find the planes speed and the wind speed.
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\n" ); document.write( "let x=plane speed
\n" ); document.write( "let c=wind speed
\n" ); document.write( "x+c=speed of plane with tail wind
\n" ); document.write( "x-c=speed of plane with head wind
\n" ); document.write( "travel time*speed=distance
\n" ); document.write( "3 hr and 20 min=3 1/3 hr=10/3 hr
\n" ); document.write( "..
\n" ); document.write( "4(x-c)=1000
\n" ); document.write( "10/3(x+c)=1000
\n" ); document.write( "..
\n" ); document.write( "4x-4c=1000
\n" ); document.write( "10x+10c=3000
\n" ); document.write( "..
\n" ); document.write( "20x-20c=5000 (mult. eq by 5)
\n" ); document.write( "20x+20c=6000 (mult. eq by 2)
\n" ); document.write( "add
\n" ); document.write( "40x=11000
\n" ); document.write( "x=275
\n" ); document.write( "..
\n" ); document.write( "subtract:
\n" ); document.write( "40c=1000
\n" ); document.write( "c=25
\n" ); document.write( "..
\n" ); document.write( "plane speed=275 mph
\n" ); document.write( "wind speed=25 mph\r
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