Question

devon drives 3/4 the distance to his house in 2 1/2 hours at this speed how long will the entire trip take(can i divide)

Answer 1

Answer:  Devon will complete the entire trip in 3 hours 20 minutes

Explanation:

Since we have given that

Devon drives $\frac{3}{4}$ the distance to his house in $2\frac{1}{2}$ hours,

Let the distance be x

According to question, we get

$Speed=\frac{Distance}{Time}\\\\Speed=\frac{\frac{3x}{4}}{\frac{5}{2}}\\\\Speed=\frac{6x}{20}=\frac{3x}{10}$

Now, if he want to travel the entire trip ,

Time taken by Devon is given by

$Time=\frac{Distance}{Speed}\\\\Time=\frac{x}{\frac{3x}{10}}\\\\Time=\frac{10}{3}\\\\Time=3\frac{1}{3}\times 60\\\\Time=3\ hours\ 20\ minutes$

Hence, Devon will complete the entire trip in 3 hours 20 minutes.