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Algebra_4
Chapter 96
Problem 2
Select a different problem
Example:
In the morning the passenger train made the trip at 10 miles per hour.
In the afternoon the passenger train made the return trip at 4 miles per hour.
The round trip took 14 hours.
How far was the morning trip? (they were both the same distance)
In shorthand form the problem can be written as follows:
The distance traveled (1)
The total round trip time (2)
The velocity (3)
and
(4)
From equation (1) you get (5)
From equation (2) you get (6)
Factor equation (6) to get (7)
=14)
Solve (7) for t
2 to get (8)
But from equation (1) you get (9)
Substituting this in
and
(14)}{\frac{4}{10}+1}=40miles)
