Respuesta :
Solving algebraic word problems involve, defining the variables, from which an equation is written and then solved
[tex]\underline{The \ time \ when \ the \ snowfall \ would \ be \ equal, \ t = \dfrac{4 \times (y - x)}{5}}[/tex]
Where;
y - x = The difference between the amount of snow accumulated in town 2 and the amount of snow accumulated in town 1 respectively
The reason the above expression for the time is correct is given as follows:
The given rate at which the snow depth is increasing are:
The snow depth is increasing by 3 1/2 inches every hour in town 1
The snow depth is increasing by 2 1/4 inches every hour in town 2
Required:
The time in hours at which the snowfalls of the towns will be equal
Solution:
Let x represent the accumulated snow in town 1, and let y represent the accumulated snow in town 2, at the time, t, when the accumulated snow will be equal, we have;
[tex]x + 3\frac{1}{2} \times t = y + 2\frac{1}{4} \times t[/tex]
Which gives;
[tex]x + \dfrac{7 \cdot t}{2} = y + \dfrac{9 \cdot t}{4}[/tex]
Collecting like terms gives;
[tex]\dfrac{7 \cdot t}{2} -\dfrac{9 \cdot t}{4} = y - x[/tex]
[tex]The \ time \ when \ the \ snowfall \ would \ be \ equal, \ t = \mathbf{\dfrac{4 \times (y - x)}{5}}[/tex]
Where;
x = The accumulated snowfall in town 1
y = The accumulated snowfall in town 2
Learn more about algebraic word problems here:
https://brainly.com/question/11927971
