Respuesta :
We are given the following details:
Travis travelled a distance of 305.5 miles
He travelled 49 mph for the first part of the trip
He travelled 61 mph for the second part of the trip
The trip took 5.5 hours
We will calculate how long he travelled at each rate as shown below:
[tex]\begin{gathered} Let^{\prime}s\text{ assume that }the\text{ number of hours travelled during the second part of the trip is ''x'':} \\ \Rightarrow61(x)+49(5.5-x)=305.5 \\ 61(x)+49(5.5-x)=305.5 \\ \text{Expanding the bracket, we have:} \\ 61x+269.5-49x=305.5 \\ \text{Put like terms together, we have:} \\ 61x-49x=305.5-269.5 \\ 12x=36 \\ \text{Divide both sides by ''12'', we have:} \\ x=\frac{36}{12}=3 \\ x=3 \end{gathered}[/tex]It means the second part of the trip took 3 hours while the first part of the trip took 2.5 hours
Therefore, Travis travelled at 49 mph for 2.5 hours & travelled at 61 mph for 3 hours
