document.write( "Question 46563: Could someone show me step by step how to do this?\r
\n" ); document.write( "\n" ); document.write( "Word Problem:Science and medicine.
\n" ); document.write( " Ariana took 2 hours longer to drive 360 mi on the first day of a trip than she took to drive 270 mi on the second day. If her speed was the same on both days, what was the driving time each day?
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Algebra.Com's Answer #30843 by tutorcecilia(2152)\"\" \"About 
You can put this solution on YOUR website!
d=rt [Basic formula for distance]
\n" ); document.write( "d1=rt and d2=rt [Solve for the rate (r) or speed]
\n" ); document.write( "d1/t=r and d2/t=r
\n" ); document.write( "d1/t=d2/t [Both rates are equal]
\n" ); document.write( "(360)/(t+2) = (270)/(t) [Plug-in the values]
\n" ); document.write( "(360)(t+2) = (270)(2) [Solve for \"t\"][Cross-multiply]
\n" ); document.write( "360t = 270t+540 [Simplify]
\n" ); document.write( "360t-270t=540
\n" ); document.write( "90t/90=540/90
\n" ); document.write( "t=6
\n" ); document.write( "First day: t+2=6+2=8 hours
\n" ); document.write( "Second day: t = 6 hours\r
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