Two cyclists, alan and brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. alan races around the track in 45 seconds before brian does and overtakes him every 9 minutes. what are their rates, in meters per minute?

Alan: 200 m/min

Brian: 150 m/min

Step-by-step explanation:    

Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.

To find : What are their rates, in meters per minute?

Solution :

Let n represent the number of laps that Alan completes in 9 minutes.

Then n-1 is the number of laps Brian completes.

45 seconds = 3/4 minutes.

The difference in their lap times in minutes per lap is

Solving the equation we get,

Neglecting n=-3

So, n=4

Then Alan's speed in m/min is

Brian completes 3 laps in that 9-minute time, so his rate is

Therefore, Alan: 200 m/min

Brian: 150 m/min

not enough information

step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.

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