document.write( "Question 1042715: a car travels at a constant speed for 450km if the average speed was increased by 15km/h the journey would have taken 90 min less find speed of car \n" ); document.write( "
Algebra.Com's Answer #657754 by MathTherapy(10555)\"\" \"About 
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\n" ); document.write( "a car travels at a constant speed for 450km if the average speed was increased by 15km/h the journey would have taken 90 min less find speed of car
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Let speed of car be S
\n" ); document.write( "Then hypothetical speed = S + 15
\n" ); document.write( "We then get the following TIME equation: \"450%2FS+=+450%2F%28S+%2B+15%29+%2B+90%2F60\"_____\"450%2FS+=+450%2F%28S+%2B+15%29+%2B+3%2F2\"
\n" ); document.write( "450(2)(S + 15) = 450(2S) + 3S(S + 15) --------- Multiplying by LCD, 2S(S + 15)
\n" ); document.write( "\"900S+%2B+%2213%2C500%22+=+900S+%2B+3S%5E2+%2B+45S\"
\n" ); document.write( "\"3S%5E2+%2B+900S+%2B+45S+-+900S+-+%2213%2C500%22+=+0\" ======> \"S%5E2+%2B+15S+-+%224%2C500%22+=+0\"
\n" ); document.write( "Factor the trinomial on the left to solve for S: the speed of the car. You should get \"highlight_green%28matrix%281%2C2%2C+60%2Ckm%2Fh%29%29\" \n" ); document.write( "
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