If a person walks 1/2 mile in 1/4 hour, how far does that person walk 1 3/4 hours at that rate?

Answer 1

Hello, thank you for taking the time to post your question!

The first step on a question like this is to find what the person’s overall walking rate is … so for this one that would be

½ mile / (1/4 hour) = 2 miles per hour

Then you can multiply the new time quantity by 2 miles per hour to convert it over

1_3/4 hours x 2 miles/hour = 7/2 miles

That means that the person can walk 7/2 = 3.5 miles in 1_3/4 hours

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

.5 mile = .25 hour

Multiply both sides by 4, because there are 4 quarters in 1 hour

(4)(.5) = (.25)(4)

2 miles =1 hr

Multiply both sides of the original equation by 3 to figure out how far in 3/4 of an hour

(3)(.5) = (3)(.25)

1.5 miles = 3/4 of an hour

now add the two answers together to figure out that the person walked 3.5 miles in 1 3/4 hours

***You also could have multiplied both sides of the original equation by 7, recognizing that that there are 7 quarters in 1.75 hours.