Answer:
0.7 hours
Step-by-step explanation:
We know distance = rate * time, or [tex]D=rt[/tex]
Since, the route is same, the Distance is same for both legs of the journey.
Let's call the first leg as [tex]D_{1}[/tex] and second leg as [tex]D_{2}[/tex]
Therefore, using the distance formula above, we can write:
[tex]r_{1}t_{1}=r_{2}t_{2}[/tex]
Substituting [tex]r_{1}=16[/tex] , [tex]r_{2}=27[/tex] , and [tex]t_{2}=0.4[/tex] [given in the problem] into this equation and solving for [tex]t_{1}[/tex] gives us:
[tex](16)(t_{1})=(27)(0.4)\\(16)(t_{1})=10.8\\t_{1}=\frac{10.8}{16}\\t_{1}=0.675[/tex] hours
Rounding to the nearest tenth of an hour, that is :
[tex]0.7[/tex] hours
