document.write( "Question 935168: A ship leaves port at 12:00 pm (noon) and sails east at 10 miles per hour. Another leaves the same port at 1:00 pm and sails north at 20 miles per hour. At what time are the ships 50 miles apart? Show all your calculations. \n" ); document.write( "

Algebra.Com's Answer #568303 by Alan3354(69443) $\"\"$ $\"About$

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A ship leaves port at 12:00 pm (noon) and sails east at 10 miles per hour. Another leaves the same port at 1:00 pm and sails north at 20 miles per hour. At what time are the ships 50 miles apart?
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\n" ); document.write( "t = 0 at 1 PM
\n" ); document.write( "Distance from port:
\n" ); document.write( "Eastbound = 10t + 10
\n" ); document.write( "Northbound = 20t
\n" ); document.write( "---
\n" ); document.write( " $\"d%5E2+=+%2810t%2B10%29%5E2+%2B+%2820t%29%5E2\"$
\n" ); document.write( " $\"%2810t%2B10%29%5E2+%2B+%2820t%29%5E2+=+50%5E2+=+2500\"$
\n" ); document.write( " $\"100t%5E2+%2B+200t+%2B+100+%2B+400t%5E2+=+2500\"$
\n" ); document.write( " $\"500t%5E2+%2B+200t+%2B+100+=+2500\"$
\n" ); document.write( " $\"5t%5E2+%2B+2t+-+24+=+0\"$
\n" ); document.write( "(5t + 12)*(t - 2) = 0
\n" ); document.write( "t = 2 hours (Ignore the negative solution)
\n" ); document.write( "--> 3 PM \n" ); document.write( "

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