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
A
y is equal to 120 x plus 20; y is equal to 30 x
B
y is equal to 20 x plus 120; y is equal to 30 x
C
y is equal to 120 x; y is equal to 30 x plus 20
D
y is equal to 20 x; y is equal to 30 x plus 120
Explanation
Jamie has already walked 120 minutes, then adds 20 minutes each day, so Jamie’s total after x days is y = 20x + 120. Owen starts with no minutes mentioned and adds 30 minutes per day, so his total is y = 30x. These are the equations in choice B.
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