document.write( "Question 1025319: Ben and Ashley left the airport at the same time traveling in opposite directions. Ashley traveled 10 miles per hour slower than Ben After driving for one and a half hours they were 135 miles apart. How fast were both of them driving? \n" ); document.write( "
Algebra.Com's Answer #640600 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = Ben's speed in mi/hr
\n" ); document.write( "\"+s+-+10+\" = Ashley's speed in mi/hr
\n" ); document.write( "Let \"+d+\" = distance in miles that Ben travels
\n" ); document.write( "\"+135+-+d+\" = distance that Ashley travels
\n" ); document.write( "--------------------------------------
\n" ); document.write( "Ben's equation:
\n" ); document.write( "(1) \"+d+=+s%2A1.5+\"
\n" ); document.write( "Ashley's equation:
\n" ); document.write( "(2) \"+135+-+d+=+%28+s+-+10+%29%2A1.5+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+135+-+1.5s+=+%28+s+-+10+%29%2A1.5+\"
\n" ); document.write( "(2) \"+135+-+1.5s+=+1.5s+-+15+\"
\n" ); document.write( "(2) \"+3s+=+150+\"
\n" ); document.write( "(2) \"+s+=+50+\"
\n" ); document.write( "and
\n" ); document.write( "\"+s+-+10+=+40+\"
\n" ); document.write( "---------------
\n" ); document.write( "Ashley's speed is 40 mi/hr
\n" ); document.write( "Ben's speed is 50 mi/hr
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+50%2A1.5+\"
\n" ); document.write( "(1) \"+d+=+75+\" mi
\n" ); document.write( "and
\n" ); document.write( "(2) \"+135+-+d+=+%28+50+-+10+%29%2A1.5+\"
\n" ); document.write( "(2) \"+135+-+d+=+40%2A1.5+\"
\n" ); document.write( "(2) \"+135+-+d+=+60+\"
\n" ); document.write( "\"+75+%2B+60+=+135+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );