
Concept explainers
To choose: a variable for the number of hours traveled by a train and to write an equation which represents the information regarding the distance traveled and speed of the train.

Answer to Problem 31WE
The variable for representing the number of hours traveled by train is t
The equation representing the given information is
Explanation of Solution
Given Information: A train traveled a distance of 462 km at a speed of 132 km/h
Formula Used:
The following approach is used to obtain the equation connecting the distance traveled and speed of the train.
a. Choosing a variable for the number of hours traveled by a train.
b. Representing the given information regarding the distance traveled by the train and speed in terms of the time of journey.
The variable chosen can be assigned in the above expression to get the distance and speed of the train.
Calculation:
Let the number of hours traveled by the train be represented by the variable “ t ”
Now, the distance traveled by the train and the speed of the train can be connected by the relation,
Having the speed and distance along with the variable for time t , the equation can be rewritten as,
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Algebra: Structure And Method, Book 1
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