document.write( "Question 1114941: A plane can fly 300 miles in the same time as it takes a car to go 180 miles. If the car travels 90 mph slower than the plane, find the speed of the plane. \n" ); document.write( "
Algebra.Com's Answer #729849 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+t+\" = time in hrs for both the
\n" ); document.write( "plane and the car
\n" ); document.write( "Let \"+s+\" = the speed of the plane in mi/hr
\n" ); document.write( "\"+s+-+90+\" = the speed in mi/hr of the car
\n" ); document.write( "------------------------------------------
\n" ); document.write( "Equation for the plane:
\n" ); document.write( "(1) \"+300+=+s%2At+\"
\n" ); document.write( "Equation for the car:
\n" ); document.write( "(2) \"+180+=+%28+s-90+%29%2At+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) \"+s+=+300%2Ft+\"
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+180+=+%28+300%2Ft+-+90+%29%2At+\"
\n" ); document.write( "(2) \"+180+=+300+-+90t+\"
\n" ); document.write( "(2) \"+90t+=+120+\"
\n" ); document.write( "(2) \"+t+=+4%2F3+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+s+=+300%2Ft+\"
\n" ); document.write( "(1) \"+s+=+300%2F%284%2F3%29+\"
\n" ); document.write( "(1) \"+s+=+900%2F4+\"
\n" ); document.write( "(1) \"+s+=+225+\"
\n" ); document.write( "The speed of the plane is 225 mi/hr
\n" ); document.write( "--------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+300+=+s%2At+\"
\n" ); document.write( "(1) \"+300+=+225%2A%28+4%2F3+%29+\"
\n" ); document.write( "(1) \"+3%2A300+=+4%2A225+\"
\n" ); document.write( "(1) \"+900+=+900+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"++180+=+%28+s-90+%29%2At+\"
\n" ); document.write( "(2) \"+180+=+%28+225+-+90+%29%2A%284%2F3%29+\"
\n" ); document.write( "(2) \"+180+=+135%2A%284%2F3%29+\"
\n" ); document.write( "(2) \"+540+=+540+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );