document.write( "Question 211587This question is from textbook
\n" ); document.write( ": Can you please help me with this uniform motion problem? If the speed were increased by 10mph, a 420 mile trip would take 1 hr less time. How long will the trip take at the slower speed? Please show me all the steps and please get back to me before Tues. 10am.
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Algebra.Com's Answer #159876 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
rate = distance / time\r
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\n" ); document.write( "\n" ); document.write( "rate + 10 = distance / (time - 1)\r
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\n" ); document.write( "\n" ); document.write( "(distance / time) + 10 = distance / (time - 1) ___ (420 / t) + 10 = 420 / (t - 1)\r
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\n" ); document.write( "\n" ); document.write( "(420 + 10t) / t = 420 / (t - 1)\r
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\n" ); document.write( "\n" ); document.write( "multiplying by t(t - 1) ___ 10t^2 + 410t -420 = 420t\r
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\n" ); document.write( "\n" ); document.write( "subtracting 420t and dividing by 10 ___ t^2 - t - 42 = 0\r
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\n" ); document.write( "\n" ); document.write( "factoring ___ (t + 6)(t - 7) = 0\r
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\n" ); document.write( "\n" ); document.write( "t + 6 = 0 ___ t = -6 ___ negative value not realistic\r
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\n" ); document.write( "\n" ); document.write( "t - 7 = 0 ___ t = 7
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