H> Graphing out Word problems ( Word eq. included)

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The discussion focuses on solving a word problem involving two runners, Mary and John, with specific speeds of 7 m/s and 8 m/s, respectively. Mary starts running at noon, while John begins 35 seconds later. The key to graphing their positions over time involves plotting Mary's position as a function of time starting from the origin and determining John's position starting at 35 seconds. The slopes of their respective lines represent their speeds, with Mary's slope being 7 and John's slope being 8.

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Mary left home at noon running at 7m/s towards school. Her brother John left 35 seconds later running at 8m/s. How much time passed and how far were they from the house when John caught up to Mary.

Can u please state your formula and how to graph it out. I used the x-y graph but when i get to 35seconds with mary its at 245 metres. My problem is how do i graph john on the graph. where do i start? at 0 or 35? please help and thnx a lot
 
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Plot position (ordinate) vs time (abscissa).

Take time t=0 when Mary leaves the home (origin). What is the slope of her line?

John's position is 0 at t = 35 s. What is the slope of his line?
 

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