document.write( "Question 901984: two cars start 300 miles apart from each other.alice one of the drivers speeds off at 80 miles an hour towards the other car.15 minutes later bob the other driver starts driving and speeds at 90 miles an hour toward oncoming alice.how long after bob starts traveling do the cars meet? \n" ); document.write( "
Algebra.Com's Answer #547031 by josmiceli(19441)\"\" \"About 
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Let \"+d+\" = distance in miles Bob travels
\n" ); document.write( "until they meet
\n" ); document.write( "Let \"+t+\" = the time in hours after Bob
\n" ); document.write( "leaves until they meet
\n" ); document.write( "------------------------------------
\n" ); document.write( "\"+15+\" min = \"+1%2F4+\" hrs
\n" ); document.write( "Alice's head start is:
\n" ); document.write( "\"+d%5B1%5D+=+80%2A%281%2F4%29+\"
\n" ); document.write( "\"+d%5B1%5D+=+20+\" mi
\n" ); document.write( "--------------------
\n" ); document.write( "Start a stop watch when Bob leaves
\n" ); document.write( "Alice's equation:
\n" ); document.write( "(1) \"+%28+300+-+d+%29+-+20+=+80t+\"
\n" ); document.write( "Bob's equation:
\n" ); document.write( "(2) \"+d+=+90t+\"
\n" ); document.write( "----------------
\n" ); document.write( "(1) \"+d+=+280+-+80t+\"
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) \"+90t+=+280+-+80t++++++++++++++++%0D%0A%281%29+%7B%7B%7B+170t+=+280+\"
\n" ); document.write( "(1) \"+t+=+1.647+\" hrs
\n" ); document.write( "---------------------
\n" ); document.write( "\"+.647%2A60+=+38.82+\"
\n" ); document.write( "After Bob leaves, they meet in 1 hr 39 min approx.
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+d+=+90t+\"
\n" ); document.write( "(2) \"+d+=+90%2A1.647+\"
\n" ); document.write( "(2) \"+d+=+148.23+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+%28+300+-+d+%29+-+20+=+80t+\"
\n" ); document.write( "(1) \"+%28+300+-+d+%29+-+20+=+80%2A1.647+\"
\n" ); document.write( "(1) \"+d+=+280+-+131.76+\"
\n" ); document.write( "(1) \"+d+=+148.24+\"
\n" ); document.write( "close enough\r
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