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?

A) y= 20x + 120
y= 30x

B) y= 20x
y= 30x + 120

C) y= 120x + 20
y= 30x

D) y= 120x
y= 30x + 20

Answer 1

y= 20x+120 for Jamie and y= 30x for Owen

Answer 2

Option A is correct.

Explanation:

Given:

Jamie already walked 120 minutes.

Jamie plans to walk 20 minutes per day.

Owen plans to walk 30 minutes per day.

If x represent the number of days and y represent the number of minutes walked.

Number of minutes Jamie walked in x days = 20x

Total minute walked by Jamie in x days , y = 20x + 120

Number of minutes Owen walked in x days = 30x

Total Number of minutes walked by Owen in x days , y = 30x

Therefore, Option A is correct.