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 system of equations. y equals 20 x plus 120. y equals 30 x.
A system of equations. y equals 20 x. y equals 30 x plus 120.
A system of equations. y equals 120 x plus 20. y equals 30 x.
A system of equations. y equals 120 x. y equals 30 x plus 20.

Answer 1

The first system:

y = 20x + 120
y = 30x

(Explanation: Jamie has 120 minutes already and adds 20 per day, Owen adds 30 per day with no initial minutes. Solving 20x+120 = 30x gives x = 12 days, and y = 30(12) = 360 minutes.)