SOLUTION: 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 ho

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 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 ho      Log On


   

Question 874908: 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.
How far does the accountant walk?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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%2F4 + %28%2825-w%29%29%2F40 = 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
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total time: 3 hrs