document.write( "Question 117631: AN ACCOUNTANT RIDES A BUS PART OF THE WAY TO WORK EVERY DAY AND WALK THE REST OF THE WAY. THE BUS AVERAGES 40MPH AND THE ACCOUNTANT WALKS AT A SPEED OF 3MPH.THE DISTANT FROM HOME TO WORK IS 22MI AND THE TOTAL TIME FOR THE TRIP IS
\n" ); document.write( "3 HOURS. FIND HOW FAR THE ACCOUNTANT WALKS. \n" ); document.write( "

Algebra.Com's Answer #85634 by Fombitz(32388) $\"\"$ $\"About$

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Rate x Time = Distance
\n" ); document.write( "Distance = Rate/Time
\n" ); document.write( "Let's call Bus Time and Bus Distance, T1 and D1.
\n" ); document.write( "Let's call walk time and walk distance, T2 and D2.
\n" ); document.write( "1. $\"D1%2BD2=22\"$ Total distance is 22 miles.
\n" ); document.write( "2. $\"T1%2BT2=3\"$ Total time is 3 hours.
\n" ); document.write( "3. $\"D1%2FT1=40\"$ Rate of the bus is 40 mph.
\n" ); document.write( "4. $\"D2%2FT2=3\"$ Rate of the accountant walking is 3 mph.
\n" ); document.write( "From 3,
\n" ); document.write( "3. $\"D1%2FT1=40\"$
\n" ); document.write( " $\"D1=40T1\"$
\n" ); document.write( "and from 4,
\n" ); document.write( "4. $\"D2%2FT2=3\"$
\n" ); document.write( " $\"D2=3T2\"$
\n" ); document.write( "You can substitute these values into 1.
\n" ); document.write( "1. $\"D1%2BD2=22\"$
\n" ); document.write( " $\"40T1%2B3T2=22\"$
\n" ); document.write( " $\"3T2=22-40T1\"$
\n" ); document.write( " $\"T2=%2822-40T1%29%2F3\"$
\n" ); document.write( "You can substitute this value for T2 into equation 2 and solve for T1.
\n" ); document.write( "2. $\"T1%2BT2=3\"$
\n" ); document.write( " $\"T1%2B%2822-40T1%29%2F3=3\"$
\n" ); document.write( " $\"3T1%2B22-40T1=9\"$
\n" ); document.write( " $\"22-37T1=9\"$
\n" ); document.write( " $\"-37T1=-13\"$
\n" ); document.write( " $\"T1=13%2F37\"$
\n" ); document.write( "From 2,
\n" ); document.write( " $\"T1%2BT2=3\"$
\n" ); document.write( " $\"13%2F37%2BT2=3\"$
\n" ); document.write( " $\"T2=3-14%2F37\"$
\n" ); document.write( " $\"T2=111%2F37-13%2F37\"$
\n" ); document.write( " $\"T2=98%2F37\"$
\n" ); document.write( "From 3,
\n" ); document.write( " $\"D1=40T1\"$
\n" ); document.write( " $\"D1=40%2813%2F37%29\"$
\n" ); document.write( " $\"D1=520%2F37\"$
\n" ); document.write( "From 4,
\n" ); document.write( " $\"D2=3T2\"$
\n" ); document.write( " $\"D2=3%2898%2F37%29\"$
\n" ); document.write( " $\"D2=294%2F37\"$
\n" ); document.write( "So in approximate terms, the accountant rides the bus 14.1 miles for 0.35 hrs(21 minutes).
\n" ); document.write( "Then walks 2.65 hrs (2 hrs, 39 minutes) for a distance of 7.9 miles.
\n" ); document.write( "Total distance is 14.1+7.9 or 22 miles.
\n" ); document.write( "Total time is 0.35+2.65 or 3 hours. \n" ); document.write( "

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