document.write( "Question 334470: I have a story problem using d=rt, where is the distance, r is the rate and t is the time.\r
\n" ); document.write( "\n" ); document.write( "Suppose you are traveling at an average of 55 miles per hour to your sisters house, and return at an average of 65 miles per hour. The total driving time is 12 hours. How far, in miles did you travel?\r
\n" ); document.write( "\n" ); document.write( "The only option that even comes close to the answer I get is 660. I can not figure out how. \r
\n" ); document.write( "\n" ); document.write( "Please help!! thanks so much!
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Algebra.Com's Answer #239651 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
You can write 2 equations, 1 for driving to the house and
\n" ); document.write( "1 for returning. The distance is unknown, but it's the
\n" ); document.write( "same for both trips. I'll call the distance \"d\"
\n" ); document.write( "I'll call the time to drive to the house \"t\". Since the
\n" ); document.write( "total driving time is \"12\" hrs, the time to drive back
\n" ); document.write( "is \"12+-+t\"
\n" ); document.write( "Driving to the house:
\n" ); document.write( "(1) \"d+=+r%5B1%5D%2At\"
\n" ); document.write( "Drive from the house:
\n" ); document.write( "(2) \"d+=+r%5B2%5D%2A%2812+-+t%29\"
\n" ); document.write( "given:
\n" ); document.write( "\"r%5B1%5D+=+55\" mi/hr
\n" ); document.write( "\"r%5B2%5D+=+65\" mi/hr
\n" ); document.write( "-------------------------
\n" ); document.write( "Now I can write:
\n" ); document.write( "(1) \"d+=+55t\"
\n" ); document.write( "(2) \"d+=+65%2A%2812+-+t%29\"
\n" ); document.write( "I can set (1) and (2) equal to eachother:
\n" ); document.write( "\"55t+=+65%2A%2812+-+t%29\"
\n" ); document.write( "\"55t+=+780+-+65t\"
\n" ); document.write( "\"120t+=+780\"
\n" ); document.write( "\"t+=+6.5\"
\n" ); document.write( "It took 6.5 hrs to drive to the house.
\n" ); document.write( "Now find \"d\"
\n" ); document.write( "\"d+=+55t\"
\n" ); document.write( "\"d+=+55%2A6.5\"
\n" ); document.write( "\"d+=+357.5\" mi
\n" ); document.write( "You drove the same distance coming back, so
\n" ); document.write( "the total distance is \"2d\"
\n" ); document.write( "\"2d+=+2%2A357.5\"
\n" ); document.write( "\"2d+=+715\"
\n" ); document.write( "You drove 715 mi
\n" ); document.write( "check answer:
\n" ); document.write( "\"2d+=+55t+%2B+65%2A%2812+-+t%29\"
\n" ); document.write( "\"715+=+55%2A6.5+%2B+65%2A%2812+-+6.5%29\"
\n" ); document.write( "\"715+=+357.5+%2B+65%2A5.5\"
\n" ); document.write( "\"715+=+357.5+%2B+357.5\"
\n" ); document.write( "\"715+=+715\"
\n" ); document.write( "OK
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