Question 668275
 rides the bus part of the way to work everyday and walks the rest of the way.
 The bus averages 40mph, and the accountant walks at a speed of 5mph.
 The distance from home to work is 19 miles, and the total time for the trip is 2hrs.
Find how far the accountant walks
:
let w = the distance walked
then
(19-w) = the distance on the bus
:
Write time equation; time = dist/speed
:
Walk time + ride time = 2 hrs
{{{w/5}}} + {{{((19-w))/40}}} = 2
Multiply by 40 to clear the denominators resulting in:
8w + 19 - w = 40(2)
7w = 80 - 19
7w = 61
w = 61/7
w ~ 8.7 miles walking
:
:
Check this by finding the times walking and busing (19-8.7=10.3)
8.7/5 = 1.74 hrs
10.3/40 = .26 hrs
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total time: 2 hrs