document.write( "Question 884315: A car traveled 120 miles in the same amount of time that it took an airplane
\n" ); document.write( "to travel 1050 miles. The speed of the airplane was 310 miles per hour faster than the speed of the car. Find the speed of the airplane.
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Algebra.Com's Answer #534222 by geetha_rama(94)\"\" \"About 
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Let c be the speed of the car and a be the speed of the airplane.
\n" ); document.write( "Hence a = c+310 -> eq 1
\n" ); document.write( "Let t be the time taken for car and plane to cover a distance of 120 miles and 1050 miles respectively.\r
\n" ); document.write( "\n" ); document.write( "distance = speed * time\r
\n" ); document.write( "\n" ); document.write( "For car:
\n" ); document.write( "ct = 120 -> eq 2\r
\n" ); document.write( "\n" ); document.write( "For plane:
\n" ); document.write( "at = 1050 -> eq 3\r
\n" ); document.write( "\n" ); document.write( "substitute for a from eq 1 in eq 3
\n" ); document.write( "(c+310) = 1050 -> eq 4\r
\n" ); document.write( "\n" ); document.write( "Eq4/eq 2
\n" ); document.write( "becomes
\n" ); document.write( "(c+310)/c = 1050/120
\n" ); document.write( "(c+310)/c = 35/4
\n" ); document.write( "=> 4c + 1240 = 35c
\n" ); document.write( "=> 31c = 1240
\n" ); document.write( "=> c = 40 miles per hour
\n" ); document.write( "Speed of car = 40 miles per hour
\n" ); document.write( "Speed of plance = 350 miles per hour\r
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