SOLUTION: An accountant rides a bus part of the way to work every day and walks the rest of the way. The bus averages 38 mph, and the accountant walks at a speed of 5 mph. The distance from

Question 809934: An accountant rides a bus part of the way to work every day and walks the rest of the way. The bus averages 38 mph, and the accountant walks at a speed of 5 mph. The distance from home to work is 21 mi, and the total time for the trip is 3 hr. Find how far the accountant walks and how far he rides the bus.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Method_________speed____________time___________distance
Bus____________38_______________(___)__________(___)
Walk____________5_______________(___)__________(___)
Total___________________________3______________21

We want some variables to finish filling the data table. Try assigning,
x = distance by bus
y = distance by walk
and use as

Method_________speed____________time___________distance
Bus____________38_______________()__________(x)
Walk____________5_______________()__________(y)
Total___________________________3______________21

That gives us information to form the system of equations,
and
Solve the system for x and y.
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