document.write( "Question 83131: Ariana took 2h longer to drive 360 mi on the first day of a trio than she took to drive 270 mi on the second day. If her speed was the same on both days what was the driving time each day? \n" ); document.write( "
Algebra.Com's Answer #59656 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Ariana took 2h longer to drive 360 mi on the first day of a trio than she took to drive 270 mi on the second day. If her speed was the same on both days what was the driving time each. \n" ); document.write( ": \n" ); document.write( "Let t = time to drive 270 mi \n" ); document.write( "Then (t+2) = time to drive 360 mi \n" ); document.write( ": \n" ); document.write( "Since she drove the same speed on both legs of the trip, write a speed equation: \n" ); document.write( "Speed = Distance/Time \n" ); document.write( ": \n" ); document.write( "270 mi speed = 360 mi speed \n" ); document.write( " \n" ); document.write( "Cross multiply and you have: \n" ); document.write( "360t = 270(t+2) \n" ); document.write( ": \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 hr to drive 270 mi, obviously it's 8 hrs to drive 360 \n" ); document.write( ": \n" ); document.write( "Check solution by confirming equal speeds: \n" ); document.write( "270/6 = 45 \n" ); document.write( "360/8 = 45 \n" ); document.write( ": \n" ); document.write( "Make sense to you? Any questions? \n" ); document.write( " |