Question

Jamie and owen joined a monthly walking challenge at their youth center. jamie has already walked 120 minutes and plans to walk 20 minutes per day. owen plans to walk 30 minutes per day. let x represent the number of days and y represent the total number of minutes walked during the challenge. which system of equations can be used to find the number of days it will take for owen and jamie to have walked the same number of minutes

Answer 1

y= 120+20x

y=30x

When jamie and owen walk for same minutes then: 120+20x=30x

Explanation:

Given :

Jamie has already walked 120 minutes and plans to walk 20 minutes per day. Owen plans to walk 30 minutes per day.

To Find: . which system of equations can be used to find the number of days it will take for owen and jamie to have walked the same number of minutes

Solution :

Let x represent the number of days and y represent the total number of minutes walked during the challenge.

Since Jamie plans to walk 20 minutes per day

So, Jamie walked for x days =20 x minutes

Jamie already walked for 120 minutes

So total minutes for which jamie walked :

y= 120+20x ---(a)

Since Owen plans to walk 30 minutes per day

Owen walk for minutes in x days = 30x

So, y=30x ---(b)

Now when jamie and owen walk for same minutes then:

120+20x=30x

⇒120=10x

⇒x=12

Thus jamie walked for minutes = 120 +20*12 =360

Own walked for minutes = 30*12 =360

Answer 2

y=20x+120
y=30x

30x=20x+120
30x-20x=120
10x=120
x=12 days

y=30x
y=30(12)
y=360 minutes