To keep in shape, Vincent exercises at a track near his home. He requires 40 minutes to do 4 laps running and 7 laps walking.
In contrast, he requires 18 minutes to do 2 laps running and 3 laps walking,
Assuming he maintains a consistent pace while running and while walking, how long does Vincent take to complete a lap at each pace?

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Step-by-step explanation:

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- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."