document.write( "Question 1066151: Each of two cars, whose average rates are in the ratio of 4:5, travels the distance of 160 miles. If the fast car travels 1/2 an hour less than the slow car, find the average rate of each car. \n" ); document.write( "
Algebra.Com's Answer #681338 by josmiceli(19441)\"\" \"About 
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Let their speeds = \"+4x+\" and \"+5x+\"
\n" ); document.write( "Let the time for the slow car = \"+t+\"
\n" ); document.write( "\"+t+-+1%2F2+\" = the time for the fast car
\n" ); document.write( "----------------------------------------
\n" ); document.write( "Slow car:
\n" ); document.write( "(1) \"+160+=+4x%2At+\"
\n" ); document.write( "(2) \"+160+=+5x%2A%28+t+-+1%2F2+%29+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) \"+t+=+160%2F%284x%29+\"
\n" ); document.write( "(1) \"+t+=+40%2Fx+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) \"+160+=+5x%2A%28+40%2Fx+-+1%2F2+%29+\"
\n" ); document.write( "(2) \"+160+=+200+-+%285%2F2%29%2Ax+\"
\n" ); document.write( "(2) \"+320+=+400+-+5x+\"
\n" ); document.write( "(2) \"+5x+=+80+\"
\n" ); document.write( "(2) \"+x+=+16+\"
\n" ); document.write( "-------------------
\n" ); document.write( "\"+4x+=+4%2A16+\"
\n" ); document.write( "\"+4x+=+64+\"
\n" ); document.write( "and
\n" ); document.write( "\"+5x+=+5%2A16+\"
\n" ); document.write( "\"+5x+=+80+\"
\n" ); document.write( "-------------------
\n" ); document.write( "The slow car's speed is 64 mi/hr
\n" ); document.write( "The fast car's speed is 80 mi/hr
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+160+=+4x%2At+\"
\n" ); document.write( "(1) \"+160+=+64t+\"
\n" ); document.write( "(1) \"+t+=+2.5+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+160+=+5x%2A%28+t+-+1%2F2+%29+\"
\n" ); document.write( "(2) \"+160+=+80%2A%28+t+-+.5+%29+\"
\n" ); document.write( "(2) \"+160+=+80t+-+40+\"
\n" ); document.write( "(2) \"+80t+=+200+\"
\n" ); document.write( "(2) \"+t+=+2.5+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );