document.write( "Question 65579: Ariana took 2h longer to drive 360mi on the first day of a trip than she took to drive 270mi on the second day. If her speed was the same on both days, what was the driving time each day?\r
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document.write( "Thank you for helping me understand these problems:-) \n" );
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Algebra.Com's Answer #46205 by checkley71(8403) ![]() You can put this solution on YOUR website! DISTANCE=RATE*TIME \n" ); document.write( "360=R(T+2) \n" ); document.write( "270=RT SOLVING FOR R IN THIS EQUATION WE GET \n" ); document.write( "R=270/T NOW SUBSTITUTING (270/T) FOR R IN THE FIRST EQUATION WE GET \n" ); document.write( "360=(270/T)(T+2) \n" ); document.write( "360=(270T+540)/T \n" ); document.write( "360T=270T+540 \n" ); document.write( "360T-270T=540 \n" ); document.write( "90T=540 \n" ); document.write( "T=540/90 \n" ); document.write( "T=6 HOURS IS THE TIME FOR THE RETURN 270 MILE TRIP. \n" ); document.write( "6+2=8 HOURS FOR THE FIRST TRIP WHICH TOOK 2 HOURS LONGER. \n" ); document.write( "THE RATE IS \n" ); document.write( "270/6=45 MPH \n" ); document.write( "########################################################### \n" ); document.write( "MERRY CHRISTMAS \n" ); document.write( " \n" ); document.write( " |