document.write( "Question 117628: AN ACCOUNTANT RIDES THE BUS PART OF THE WAYTO WORK EVERY DAY AND WALKS THE REST. THE BUS RIDES 40 MPH AND THE ACCOUNTANT WALK 3MPH. THE DISTANCE FROM WORK IS 23 MILES. THE TOTAL TIME IT TAKES THE ACCOUNTANT TO GO TO WORK IS 3HRS. HOW FAR DOES THE ACCOUNTANT WALKS? \n" ); document.write( "

Algebra.Com's Answer #85633 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
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. $\"D1%2BD2=23\"$ Total distance is 23 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. $\"D1%2BD2=23\"$
\n" ); document.write( " $\"40T1%2B3T2=23\"$
\n" ); document.write( " $\"3T2=23-40T1\"$
\n" ); document.write( " $\"T2=%2823-40T1%29%2F3\"$
\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( " $\"T1%2B%2823-40T1%29%2F3=3\"$
\n" ); document.write( " $\"3T1%2B23-40T1=9\"$
\n" ); document.write( " $\"23-37T1=9\"$
\n" ); document.write( " $\"-37T1=-14\"$
\n" ); document.write( " $\"T1=14%2F37\"$
\n" ); document.write( "From 2,
\n" ); document.write( " $\"T1%2BT2=3\"$
\n" ); document.write( " $\"14%2F37%2BT2=3\"$
\n" ); document.write( " $\"T2=3-14%2F37\"$
\n" ); document.write( " $\"T2=111%2F37-14%2F37\"$
\n" ); document.write( " $\"T2=97%2F37\"$
\n" ); document.write( "From 3,
\n" ); document.write( " $\"D1=40T1\"$
\n" ); document.write( " $\"D1=40%2814%2F37%29\"$
\n" ); document.write( " $\"D1=560%2F37\"$
\n" ); document.write( "From 4,
\n" ); document.write( " $\"D2=3T2\"$
\n" ); document.write( " $\"D2=3%2897%2F37%29\"$
\n" ); document.write( " $\"D2=291%2F37\"$
\n" ); document.write( "So in approximate terms, the accountant rides the bus 15.1 miles for 0.38 hrs(22 minutes) and then walks 2.62 hrs (2 hrs, 38 minutes) for a distance of 7.9 miles. \n" ); document.write( "

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