The traffic light at the center of town is green for 45 seconds, then yellow for 5 seconds, then red for 40 seconds, at which point the cycle repeats. if a car approaches the traffic light at a random time, what is the probability that the traffic light will be green?

1/2

Step-by-step explanation:

the barter

- "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."