Joanne C. answered 03/01/24
Enthusiastic Math and Science Tutor with over 20+ years of experience
Hi Victoria,
Your Question: Adrian jogs 3/4 miles each morning. How many days will it take him to jog 3 miles?
Given: Jog 3/4 miles each day
Find: How many days to get to 3 miles.
This is a rate problem.
Adrian jogs 3/4 miles every day. So you have a unit rate of (3/4 miles)/ day.
To determine how long it will take to jog 3 miles, we will start with the 3 miles and use our unit rate.
(It's important that you pay attention to the units so that we use the unit rate above correctly)
The unit rate can be written as (3/4 miles)/ day or day/ (3/4miles)
Since we are starting with miles and want to get to days, you will use (1 day)/(3/4miles)
3 miles x (1 day / (3/4 miles)) = 3 / (3/4) = 3 x (4/3) = 4 days.
Hope this helps, Let me know if you have any more questions :)