Question

if u are 4/7 mile from your home and u can walk 4 5/7 miles per hour , How long will it take for u to walk to your home ????? A) 4/33 hour B) 80/49 hours C) 20/231 hour D) 80/49 hours E) 132/49 hours Which one is the best Answer ..​

Answer 1

A) 4/33 hour

Explanation:

This is a distance = rate * time problem

We are given the distance and the rate, now we need to solve for the time:

`(4)/(7)=4(5)/(7)t`

Let's change that mixed fraction into an improper one:

`(4)/(7)=(33)/(7)t`

Now to solve for t we can multiply the 33/7 by its recirocal:

`((7)/(33))(4)/(7)=(33)/(7)((7)/(33))t`

Multiplying a fraction by its reciprocal = 1, so that leaves only a t on the right:

`((7)/(33))(4)/(7)=t`

The 7's cancel out on the left and that leaves you with

`t=(4)/(33)hr`