Neil ran 1500 m in 6.5 min. Dario ran 400 m in 1.5 min. Whose average speed was greater? Show work

Well, first things first.

Do you know which formula you'll be using for this?

Nope - need help the whole way - supposed to be about ratios

I'm not sure how to solve this into a ratio, but a way you could find the average speed, would go like this. First, you'd change minutes into seconds, since you are dealing with meters. then divide. How many meters per second did each person run?

thank you

1500 meters in 6.5 minutes = 1500/6.5 =230.7 meters/minute

400/1.5 = 266.7 meters/minute

Dario ran more meters per minute.

To compare the average speeds of Neil and Dario, we need to calculate the speed of each runner. Speed is defined as the distance traveled divided by the time taken.

For Neil:
Distance = 1500 m
Time = 6.5 min

To convert minutes to seconds, we multiply 6.5 min by 60 sec/min:
Time = 6.5 min * 60 sec/min = 390 sec

Now we can calculate Neil's average speed:
Speed = Distance / Time

Speed = 1500 m / 390 sec ≈ 3.85 m/s

For Dario:
Distance = 400 m
Time = 1.5 min

Converting minutes to seconds:
Time = 1.5 min * 60 sec/min = 90 sec

Calculating Dario's average speed:
Speed = Distance / Time
Speed = 400 m / 90 sec ≈ 4.44 m/s

Comparing the speeds, we can see that Dario's average speed of 4.44 m/s is greater than Neil's average speed of 3.85 m/s. Therefore, Dario's average speed was greater.