document.write( "Question 1026221: Would you be able to help me with the following question?\r
\n" ); document.write( "\n" ); document.write( "if i drive to the railway station at 80 km-1 i will be 15 min late for my train. If I drive at 110 km h-1 i will be 10 minutes early. How far do I live from the station?\r
\n" ); document.write( "\n" ); document.write( "Thanks,
\n" ); document.write( "Bob
\n" ); document.write( "

Algebra.Com's Answer #641454 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+t+\" = the time in hours that
\n" ); document.write( "will make you arrive on time
\n" ); document.write( "Let \"+d+\" = your distance in miles
\n" ); document.write( "from the station
\n" ); document.write( "------------------
\n" ); document.write( "Equation for arriving late:
\n" ); document.write( "(1) \"+d+=+80%2A%28+t+%2B+1%2F4+%29+\"
\n" ); document.write( "Equation for arriving early:
\n" ); document.write( "(2) \"+d+=+110%2A%28+t+-+1%2F6+%29+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "( note that I converted minutes to
\n" ); document.write( "fractions of an hour )
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+110%2A%28+t+-+1%2F6+%29+=+80%2A%28+t+%2B+1%2F4+%29+\"
\n" ); document.write( "Divide both sides by \"+10+\"
\n" ); document.write( "(2) \"+11%2A%28+t+-+1%2F6+%29+=+8%2A%28+t+%2B+1%2F4+%29+\"
\n" ); document.write( "(2) \"+11t+-+11%2F6+=+8t+%2B+2+\"
\n" ); document.write( "(2) \"+3t+=+12%2F6+%2B+11%2F6+\"
\n" ); document.write( "(2) \"+3t+=+23%2F6+\"
\n" ); document.write( "(2) \"+t+=+23%2F18+\"
\n" ); document.write( "------------------
\n" ); document.write( "Plug this result back into either equation
\n" ); document.write( "to get \"+d+\"
\n" ); document.write( "(1) \"+d+=+80%2A%28+t+%2B+1%2F4+%29+\"
\n" ); document.write( "(1) \"+d+=+80%2A%28+23%2F18+%2B+1%2F4+%29+\"
\n" ); document.write( "(1) \"+d+=+80%2A%28+46%2F36+%2B+9%2F36+%29+\"
\n" ); document.write( "(1) \"+d+=+80%2A%28+55%2F36+%29+\"
\n" ); document.write( "(1) \"+d+=+122.222+\" mi
\n" ); document.write( "You live 122.222 mi from station
\n" ); document.write( "------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(2) \"+d+=+110%2A%28+t+-+1%2F6+%29+\"
\n" ); document.write( "(2) \"+d+=+110%2A%28+23%2F18+-+3%2F18+%29+\"
\n" ); document.write( "(2) \"+d+=+110%2A%28+10%2F9+%29+\"
\n" ); document.write( "(2) \"+d+=+122.222+\"
\n" ); document.write( "OK
\n" ); document.write( "Hope I got it -you might want a 2nd opinion
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