document.write( "Question 898564: A plane leaves an airport at 2 P.M. At 3 P.M., another plane leaves the same airport traveling in the same direction at a speed that is 150 mph faster than that of the first plane. Four hours after the first plane takes off, the second plane is 300 mi ahead of the first plane. How far did the second plane travel? \n" ); document.write( "
Algebra.Com's Answer #544898 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = the speed of the 1st plane
\n" ); document.write( "\"+s+%2B+150+\" = the speed of the 2nd plane
\n" ); document.write( "--------------------------------------
\n" ); document.write( "From 2 PM to 3 PM is \"+1+\" hr
\n" ); document.write( "The 1st plane has a head start of:
\n" ); document.write( "\"+d%5B1%5D+=+s%2A1+\"
\n" ); document.write( "\"+d%5B1%5D+=+s+\"
\n" ); document.write( "-----------------
\n" ); document.write( "Start a stop watch when the 2nd plane leaves
\n" ); document.write( "at 3 PM
\n" ); document.write( "-----------------
\n" ); document.write( "\"+4+\" hrs after the 1st plane takes off will be
\n" ); document.write( "\"+4+-+1+=+3+\" hrs on the stop watch
\n" ); document.write( "---------------------------------
\n" ); document.write( "Let \"+d+\" = distance 2nd plane has traveled
\n" ); document.write( "when stopwatch reads \"+3+\" hrs
\n" ); document.write( "\"+d+-+s+-+300+\" = distance 1st plane
\n" ); document.write( "has traveled in that time
\n" ); document.write( "--------------------------
\n" ); document.write( "Equation for 1st plane:
\n" ); document.write( "(1) \"+d+-+d%5B1%5D+-+300+=+s%2A3+\"
\n" ); document.write( "(1) \"+d+-+s+-+300+=+3s+\"
\n" ); document.write( "(1) \"+d+=+4s+%2B+300+\"
\n" ); document.write( "--------------
\n" ); document.write( "Equation for 2nd plane:
\n" ); document.write( "(2) \"+d+=+%28+s+%2B+150+%29%2A3+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "(2) \"+d+=+3s+%2B+450+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+4s+%2B+300+=+3s+%2B+450+\"
\n" ); document.write( "(2) \"+s+=+150+\"
\n" ); document.write( "and
\n" ); document.write( "\"+s+%2B+150+=+300+\"
\n" ); document.write( "-------------------
\n" ); document.write( "The 2nd plane traveled:
\n" ); document.write( "(1) \"+d+=+4s+%2B+300+\"
\n" ); document.write( "(1) \"+d+=+4%2A150+%2B+300+\"
\n" ); document.write( "(1) \"+d+=+600+%2B+300+\"
\n" ); document.write( "(1) \"+d+=+900+\" mi
\n" ); document.write( "----------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"+d+-+s+-+300+=+3s+\"
\n" ); document.write( "(1) \"+900+-+150+-+300+=+3%2A150+\"
\n" ); document.write( "(1) \"+450+=+450+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+%28+s+%2B+150+%29%2A3+\"
\n" ); document.write( "(2) \"+900+=+%28+150+%2B+150+%29%2A3+\"
\n" ); document.write( "(2) \"+900+=+300%2A3+\"
\n" ); document.write( "(2) \"+900+=+900+\"
\n" ); document.write( "OK\r
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