SOLUTION: An accountant 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 h
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Question 668275: An accountant 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 Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! 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 + = 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
