document.write( "Question 759067: A person traveling 4 hr by plane and 25 hr by ship covers 1580 miles. If the speed of the plane had been one-half of the actual speed and the speed of the ship had been one-fourth greater, the person would have traveled only 1315 miles in the same length of time. Find the speeds of the plane and the ship. \n" ); document.write( "
Algebra.Com's Answer #461821 by lwsshak3(11628)\"\" \"About 
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A person traveling 4 hr by plane and 25 hr by ship covers 1580 miles. If the speed of the plane had been one-half of the actual speed and the speed of the ship had been one-fourth greater, the person would have traveled only 1315 miles in the same length of time. Find the speeds of the plane and the ship.
\n" ); document.write( "***
\n" ); document.write( "let x=speed of plane
\n" ); document.write( "let y=speed of ship
\n" ); document.write( "travel time*speed=distance
\n" ); document.write( "..
\n" ); document.write( "4x+25y=1580
\n" ); document.write( "4x/2+25(5y/4)=1315
\n" ); document.write( "..
\n" ); document.write( "LCD:4
\n" ); document.write( "4x+25y=1580
\n" ); document.write( "8x+125y=5260
\n" ); document.write( "..
\n" ); document.write( "-8x-50y=-3160
\n" ); document.write( "8x+125y=5260
\n" ); document.write( "add
\n" ); document.write( "75y=2100
\n" ); document.write( "y=28
\n" ); document.write( "4x=1580-25y=1580-700=880
\n" ); document.write( "x=220
\n" ); document.write( "speed of plane=220 mph
\n" ); document.write( "speed of ship=28 mph \n" ); document.write( "
\n" );