document.write( "Question 270274: a canoe and a motor boat travel towards each other from a distance of 70 miles. The motor boat moves 12 miles per hour faster that tha canoe. The two boats pass after 2.5 hours. How fast does each boat move? \n" ); document.write( "
Algebra.Com's Answer #198039 by josmiceli(19441)\"\" \"About 
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If they are moving towards eachother at constant
\n" ); document.write( "speed, I can think of the canoe as being stationary and
\n" ); document.write( "the boat moving towards it at their combined speeds
\n" ); document.write( "\"b+=+c+%2B+12\" where \"c\" is the speed of the canoe
\n" ); document.write( "and \"b\" is the speed of the boat. Their combined speeds are
\n" ); document.write( "\"b+%2B+c+=+c+%2B+c+%2B+12\"
\n" ); document.write( "\"b+%2B+c+=+2c+%2B+12\"
\n" ); document.write( "They meet in \"2.5\" hrs
\n" ); document.write( "If they are 70 mi apart, that distance must be covered
\n" ); document.write( "in order for them to meet
\n" ); document.write( "\"70+=+%282c+%2B+12%29%2A2.5\"
\n" ); document.write( "\"70+=+5c+%2B+30\"
\n" ); document.write( "\"5c+=+40\"
\n" ); document.write( "\"c+=+8\" mi/hr
\n" ); document.write( "and
\n" ); document.write( "\"b+=+c+%2B+12\"
\n" ); document.write( "\"b+=+8+%2B+12\"
\n" ); document.write( "\"b+=+20\" mi/hr
\n" ); document.write( "the canoe's speed is 8 mi/hr
\n" ); document.write( "the boats speed is 20 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "\"d%5Bc%5D+=+8%2A2.5\"
\n" ); document.write( "\"d%5Bc%5D+=+20\" mi
\n" ); document.write( "and
\n" ); document.write( "\"d%5Bb%5D+=+20%2A2.5\"
\n" ); document.write( "\"d%5Bb%5D+=+50\" mi
\n" ); document.write( "\"20+%2B+50+=+70\" mi
\n" ); document.write( "OK
\n" ); document.write( "
\n" );