document.write( "Question 1067639: Manuel traveled
\n" ); document.write( "3
\n" ); document.write( "hours nonstop to Mexico, a total of
\n" ); document.write( "167
\n" ); document.write( "miles. He took a train part of the way, which averaged
\n" ); document.write( "60mph,
\n" ); document.write( "and then took a bus the remaining distance, which averaged
\n" ); document.write( "50mph.
\n" ); document.write( "How long was Manuel on the train?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #682753 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+t+\" = time in hrs spent on the train
\n" ); document.write( "\"+3+-+t+\" = time in hrs spent on the bus
\n" ); document.write( "Let \"+d+\" = distance in miles traveled by train
\n" ); document.write( "\"+167+-+d+\" = distance in miles traveled by bus
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "For the trip by train:
\n" ); document.write( "(1) \"+d+=+60t+\"
\n" ); document.write( "For the trip by bus:
\n" ); document.write( "(2) \"+167+-+d+=+50%2A%28+3+-+t+%29+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+167+-+60t+=+150+-+50t+\"
\n" ); document.write( "(2) \"+10t+=+17+\"
\n" ); document.write( "(2) \"+t+=+1.7+\"
\n" ); document.write( "and
\n" ); document.write( "\"+3+-+t+=+3+-+.7+\"
\n" ); document.write( "\"+3+-+t+=+2.3+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "He was on the train for 1.7 hrs
\n" ); document.write( "Also note: \"+.7%2A60+=+42+\" min
\n" ); document.write( "He was on the train for 1 hr 42 min
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+60t+\"
\n" ); document.write( "(1) \"+d+=+60%2A1.7+\"
\n" ); document.write( "(1) \"+d+=+102+\" miles
\n" ); document.write( "and
\n" ); document.write( "(2) \"+167+-+d+=+50%2A%28+3+-+t+%29+\"
\n" ); document.write( "(2) \"+167+-+d+=+50%2A%28+3+-+1.7+%29+\"
\n" ); document.write( "(2) \"+167+-+d+=+50%2A1.3+\"
\n" ); document.write( "(2) \"+167+-+d+=+65+\"
\n" ); document.write( "and
\n" ); document.write( "\"+102+%2B+65+=+167+\" miles total\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );