document.write( "Question 1021016: At 8:00 am Nancy took off down a river in her boat heading north. Two hours later, William takes off down the same river in his boat also heading north. Nancy's boat speed is 3km/hour more than William's. At 12:00 pm, Nancy is 44 km ahead of William. What is the speed of each boat? \n" ); document.write( "
Algebra.Com's Answer #636836 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = Nancy's boat speed
\n" ); document.write( "\"+s+-+3+\" = William's boat speed
\n" ); document.write( "------------
\n" ); document.write( "Nancy's head start is:
\n" ); document.write( "\"+d%5B1%5D+=+s%2A2+\"
\n" ); document.write( "-----------------
\n" ); document.write( "Time the boats from 10 PM to 12 PM
\n" ); document.write( "Let \"+d+\" = distance in km from Nancy's
\n" ); document.write( "starting point at 10 PM
\n" ); document.write( "Nancy's equation:
\n" ); document.write( "(1) \"+d+=+s%2A2+\"
\n" ); document.write( "William's equation:
\n" ); document.write( "\"+d+%2B+d%5B1%5D+-+44+=+%28+s+-+3+%29%2A2+\"
\n" ); document.write( "(2) \"+d+%2B+2s+-+44+=+%28+s+-+3+%29%2A2+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+2s+%2B+2s+-+44+=+%28+s+-+3+%29%2A2+\"
\n" ); document.write( "(2) \"+4s+-+44+=+2s+-+6+\"
\n" ); document.write( "(2) \"+4s+-+2s+=+38+\"
\n" ); document.write( "(2) \"+2s+=+38+\"
\n" ); document.write( "(2) \"+s+=+19+\"
\n" ); document.write( "and
\n" ); document.write( "\"+s+-+3+=+16+\"
\n" ); document.write( "---------------
\n" ); document.write( "Nancy's speed is 19 km/hr
\n" ); document.write( "William's speed is 16 km/hr
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+s%2A2+\"
\n" ); document.write( "(1) \"+d+=+2%2A19+\"
\n" ); document.write( "(1) \"+d+=+38+\"
\n" ); document.write( "--------------
\n" ); document.write( "From 8PM to 10 PM, Nancy goes
\n" ); document.write( "\"+19%2A2+=+38+\" km
\n" ); document.write( "From 10 PM to 12 PM, Nancy goes
\n" ); document.write( "\"+19%2A2+=+38+\" km
\n" ); document.write( "-----------------
\n" ); document.write( "In the 4 hrs, she has gone \"+2%2A38+=+76+\" km
\n" ); document.write( "From 10 PM to 12 PM, William goes
\n" ); document.write( "\"+16%2A2+=+32+\" km
\n" ); document.write( "\"+76+-+32+=+44+\" km
\n" ); document.write( "He is \"+44+\" km behind her
\n" ); document.write( "Hope I got it!
\n" ); document.write( "
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