Answer: Devon will complete the entire trip in 3 hours 20 minutes
Explanation:
Since we have given that
Devon drives [tex]\frac{3}{4}[/tex] the distance to his house in [tex]2\frac{1}{2}[/tex] hours,
Let the distance be x
According to question, we get
[tex]Speed=\frac{Distance}{Time}\\\\Speed=\frac{\frac{3x}{4}}{\frac{5}{2}}\\\\Speed=\frac{6x}{20}=\frac{3x}{10}[/tex]
Now, if he want to travel the entire trip ,
Time taken by Devon is given by
[tex]Time=\frac{Distance}{Speed}\\\\Time=\frac{x}{\frac{3x}{10}}\\\\Time=\frac{10}{3}\\\\Time=3\frac{1}{3}\times 60\\\\Time=3\ hours\ 20\ minutes[/tex]
Hence, Devon will complete the entire trip in 3 hours 20 minutes.
