Question

Fitness For cardiovascular exercise, you do a combination of walking and running

for 60 minutes. During the 60 minutes, you end up running twice as much as
walking. Let x represent the number of minutes you ran and y represent the
number of minutes you walked. How many minutes did you run and how many
did you walk?

Answer 1

You walked for 20 minutes and ran for 40 minutes

Explanation:

System of Equations

Let x = the number of minutes you ran

y = the number of minutes you walked

Walking and running takes a total of 60 minutes, thus:

`x+y=60\qquad\qquad [1]`

Running time is twice as much as walking time, thus:

`x=2y\qquad\qquad [2]`

Solve the system by substitution. Taking x from [2] and substitute in [1]:

2y+y=60

Simplifying:

3y=60

Solving:

y=60/3=20

Calculate x from [2]:

x=2*20=40

You walked for 20 minutes and ran for 40 minutes