document.write( "Question 1037668: Airplane A travels 2400 km at a certain speed. Plane B travels 1800 km at a speed 50 km/h faster than Plane A in 2 hours less time. Find the speed of each plane.\r
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Algebra.Com's Answer #652357 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Airplane A travels 2400 km at a certain speed. Plane B travels 1800 km at a speed 50 km/h faster than Plane A in 2 hours less time. Find the speed of each plane.\r
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Let plane A’s speed be S
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document.write( "Then lane B’s speed is: S + 50
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document.write( "Time plane A takes: \"matrix%281%2C1%2C+%222%2C400%22%29%2FS\", while plane B takes: \"matrix%281%2C1%2C+%221%2C800%22%29%2F%28S+%2B+50%29\"
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document.write( "We then get the following TIME equation: \"matrix%281%2C1%2C+%222%2C400%22%29%2FS+=+%221%2C800%22%2F%28S+%2B+50%29+%2B+2\"
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document.write( "2,400(S + 50) = 1,800S + 2S(S + 50) ------- Multiplying by LCD, S(S + 50)
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document.write( "\"2400S+%2B+2400%2850%29+=+1800S+%2B+2S%5E2+%2B+100S%29\"
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document.write( "\"2400S+%2B+120000+=+1900S+%2B+2S%5E2+\"
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document.write( "\"2S%5E2+%2B+1900S+-+2400S+-+120000+=+0\"
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document.write( "\"2S%5E2+-+500S+-+120000+=+0\"
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document.write( "\"2%28S%5E2+-+250S+-+60000%29+=+2%280%29\"
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document.write( "\"S%5E2+-+250S+-+60000+=+0\"
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document.write( "(S - 400)(S + 150) = 0 
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document.write( "S – 400 = 0		 OR		S + 150 = 0 (ignore)
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document.write( "S, or speed of plane A = \"highlight_green%28matrix%281%2C2%2C+400%2C+%22km%2Fh%22%29%29\"
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document.write( "Speed of plane B: 400 + 50, or \"highlight_green%28matrix%281%2C2%2C+450%2C+%22km%2Fh%22%29%29\" \n" );
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