Question

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?

Answer 1

`(x)(4)+(x+5)(3)=Total\: distance`

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

`speed=(distance)/(time)\Leftrightarrow d=st`

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:

`\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}`

Note that the