document.write( "Question 800751: A cabin cruiser left the harbor and traveled to a small island at 24 mph. On the return the cruiser traveled at a speed of 16 mph. The total time was 5 hours. How far was the island from the harbor? \n" ); document.write( "

Algebra.Com's Answer #483244 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the one-way distance between
\n" ); document.write( "the harbor and the island = $\"+d+\"$
\n" ); document.write( "Let $\"+t+\"$ = the time to go from
\n" ); document.write( "the harbor to the island
\n" ); document.write( "-----------------------
\n" ); document.write( "Equation for harbor to island:
\n" ); document.write( "(1) $\"+d+=+24t+\"$
\n" ); document.write( "Equation for island to harbor
\n" ); document.write( "(2) $\"+d+=+16%2A%28+5+-+t+%29+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+24t+=+16%2A%28+5+-+t+%29+\"$
\n" ); document.write( " $\"+24t+=+80+-+16t+\"$
\n" ); document.write( " $\"+40t+=+80+\"$
\n" ); document.write( " $\"+t+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+24t+\"$
\n" ); document.write( "(1) $\"+d+=+24%2A2+\"$
\n" ); document.write( "(1) $\"+d+=+48+\"$
\n" ); document.write( "The distance between them is 48 miles
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d+=+16%2A%28+5+-+t+%29+\"$
\n" ); document.write( "(2) $\"+d+=+16%2A%28+5+-+2+%29+\"$
\n" ); document.write( "(2) $\"+d+=+48+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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