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

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To solve the problem of when John catches up to Mary, start by establishing the time variable, with Mary leaving at t=0 seconds. Mary's position can be graphed with a slope of 7 m/s, while John's position starts at t=35 seconds with a slope of 8 m/s. To graph John's movement, plot his position starting at 35 seconds on the time axis, where his position is initially 0. The intersection of the two lines on the graph will indicate the time and distance from home when John catches up to Mary. This approach effectively visualizes their respective distances over time.
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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 alot
 
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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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