document.write( "Question 953674:
\n" ); document.write( "A family left your house in 2 cars at the same time 1 car travel an avg of 7 miles per hour faster than the other. When the first arrive at the destination after 5.5 hours of driving, cars had driven a total of 599.5 miles if this second car continues the same average speed, how much time, to the nearest minute, will it take before the second car arrives?
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Algebra.Com's Answer #582430 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let the speed of the slower car = \"+s+\" mi/hr
\n" ); document.write( "The speed of the faster car = \"+s+%2B+7+\" mi/hr
\n" ); document.write( "-----------------
\n" ); document.write( "The 1st to arrive at destination is the faster car
\n" ); document.write( "Equation for faster car:
\n" ); document.write( "(1) \"+d+=+%28+s+%2B+7+%29%2A5.5+\"
\n" ); document.write( "Equation for slower car:
\n" ); document.write( "(2) \"+599.5+-+d+=+s%2A5.5+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) \"+d+=+5.5s+%2B+38.5+\"
\n" ); document.write( "(1) \"+d+-+5.5s+=+38.5+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+%2B+5.5s+=+599.5+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "Add the equations
\n" ); document.write( "\"+2d+=+638+\"
\n" ); document.write( "\"+d+=+319+\"
\n" ); document.write( "The slower car has traveled
\n" ); document.write( "\"+599.5+-+319+=+280.5+\"
\n" ); document.write( "The slower car has \"+319+-+280.5+=+38.5+\" mi
\n" ); document.write( "left to reach destination
\n" ); document.write( "-----------------------
\n" ); document.write( "Equation for slower car:
\n" ); document.write( "(2) \"+599.5+-+d+=+s%2A5.5+\"
\n" ); document.write( "(2) \"+599.5+-+319+=+s%2A5.5+\"
\n" ); document.write( "(2) \"+280.5+=+5.5s+\"
\n" ); document.write( "(2) \"+s+=+51+\"
\n" ); document.write( "-----------------
\n" ); document.write( "Find time for slower car to reach destination:
\n" ); document.write( "\"+38.5+=+51t+\"
\n" ); document.write( "\"+t+=+.755+\" hrs
\n" ); document.write( "convert to minutes:
\n" ); document.write( "\"+t+=+45.29+\" min
\n" ); document.write( "To the nearest minutes, it takes 45 min
\n" ); document.write( "for slower car to arrive
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "For slower car:
\n" ); document.write( "\"+.755+%2B+5.5+=+6.255+\"
\n" ); document.write( "\"+d%5B1%5D+=+319+\"
\n" ); document.write( "\"+d%5B1%5D+=+s%2A6.255+\"
\n" ); document.write( "\"+319+=+6.255s+\"
\n" ); document.write( "\"+s+=+50.999+\"
\n" ); document.write( "This is close enough to \"+s+=+51+\"
\n" ); document.write( "OK\r
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