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Which equation models the following word problem?Isabella and Mason competed in a long distance bike race. Isabella rode 5mph faster than Mason did. It took Mason 4 hours, where it took Isabella3 hours. How fast was each of them riding?

Which equation models the following word problemIsabella and Mason competed in a long distance bike race Isabella rode 5mph faster than Mason did It took Mason class=

Respuesta :

[tex](x)(4)+(x+5)(3)=Total\: distance[/tex]

1) The first thing to consider when tackling this question is that we are dealing with speed. And speed can be found this way:

[tex]speed=\frac{distance}{time}\Leftrightarrow d=st[/tex]

2) So, we can set our equation by calling x the distance. Since Mason took 4 hours and Isabella 3, we can start out writing:

[tex]\begin{gathered} dt_m+dt_I=Total\: distance \\ (x)t_M+(x+5)t_I=Total\: distance \\ (x)(4)+(x+5)(3)=Total\: distance \end{gathered}[/tex]

Note that the

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