document.write( "Question 453506: Two buses leave a station at the same time and travel in opposite directions. One bus travels 12 mph faster than the other. If the two buses are 480 miles apart after 4 hours, what is the rate of each bus? \n" ); document.write( "
Algebra.Com's Answer #311581 by pedjajov(51)\"\" \"About 
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If first bus travels with speed r then second bus travels with speed r+12.
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\n" ); document.write( "Distance each bus travels is given as d=tr where
\n" ); document.write( "- d is distance bus travels
\n" ); document.write( "- t is a time bus travels
\n" ); document.write( "- r is a speed of the bus
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\n" ); document.write( "Distance first bus travels for 4 hours is d1=4r.
\n" ); document.write( "Distance other bus travels for 4 hours is d2=4(r+12).
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\n" ); document.write( "Total distance between them is 480 miles and since they go in opposite directions this distance is sum of distances each bus travels.
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\n" ); document.write( "d1+d2=480
\n" ); document.write( "4r+4(r+12)=480
\n" ); document.write( "4r+4r+48=480
\n" ); document.write( "8r+48=480
\n" ); document.write( "8r=432
\n" ); document.write( "r=432/8
\n" ); document.write( "r=54 mph, this is a speed of the first bus
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\n" ); document.write( "r+12=66 mph, this is a speed of the second bus
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