<PRE><B>Question 874908</B>
An accountant rides a bus part of the way to work every day and walks the rest of the way.
 The bus averages 40mph, and the accountant walks at a speed of 4mph.
 the distance from home to work is 25 mi, and the total time for the trip is 3 hours.
 Find how far the account walks and how far he rides the bus.
:
Let w = distance walked
the total dist is given as 25 mi, therefore:
(25-w) = distance by bus
:
Write a time equation; time = dist/speed
walk time + ride time = 3 hrs
{{{w/4}}} + {{{((25-w))/40}}} = 3 
Multiply by 40, clear the denominators
10w + 25 - w = 40(3)
9w = 120 - 25
9w = 95
w = 95/9
w = 10.56 miles walked
then
25 - 10.56 = 14.44 mi by bus
:
:
Check this; find the actual times.
10.56/4 = 2.64 hrs
14.44/40 = .36 hrs
--------------------
total time: 3 hrs
</PRE>