Tomorrow Noelle wants to travel a total of 4 miles by walking and running she plans to run for 20 minutes at a rate of 6 miles per hour. How many minutes should she walk at a rate of 3 miles per hour to finish traveling the 4 miles

Noelle will need to walk at a rate of 3 miles per hour for 2/3 of an hour to finish traveling the 4 miles.

Step-by-step explanation:

This will be a two part problem.

Noelle wants to travel 4 miles in total.

If she wants to run for 20 minutes at a rate of 6 miles/hour, we need to convert 20 minutes into terms of hours

20 minutes * 1 hour/60 minutes = 1/3 of an hour

let's find the distance she has traveled by running then using

d = r*t

where d is our distance in miles,

r is our speed in miles/hour, and

t is the time taken in hours

if r = 6 miles/hour and

t = 1/3 hours

we have

d = (6 miles/hour) * (1/3 hours)

hours will cancel out, leaving us with

d = 2 miles

If Noelle has covered 2 miles by running, how many minutes then will she need to walk at a rate of 3 miles per hour to cover the remaining two miles?

d = 2 miles

r = 3 miles/hour

2 miles = (3 miles/hour) * t divide both sides by 3 miles/hour

miles will cancel out, leaving us with

2/3 hours = t

Therefore, Noelle will need to walk at a rate of 3 miles per hour for 2/3 of an hour to finish traveling the 4 miles.