One lap around a track is equal to one-sixth of a mile. A horse ran a
distance of 7 laps in 3 minutes and 20 seconds. What is the horse’s
average speed in miles per minute?
HELPPP PLEASE!!!!!!
its 0.6
distance = 7(1/6) = 7/6 miles
time = 3 1/3 minutes = 10/3 minutes
= (10/3)/60 hrs = 1/18 hr
speed = distance/time = (7/6) / (1/8) mph
=28/3 mph
or appr 9.3 mph
To find the horse's average speed in miles per minute, we need to first calculate the total distance the horse ran in miles during the given time.
Given that one lap around the track is equal to one-sixth of a mile, we can find the total distance the horse ran by multiplying the number of laps by the distance of each lap:
Total distance = Number of laps × Distance of each lap
In this case, the horse ran 7 laps, so the total distance is:
Total distance = 7 laps × (1/6 mile per lap)
Now, let's calculate the total distance:
Total distance = 7 × (1/6)
Total distance = 7/6 miles
Next, we need to convert the given time of 3 minutes and 20 seconds into minutes. We can do this by dividing the seconds by 60 and then adding the result to the minutes:
Time in minutes = (Minutes + (Seconds / 60))
In this case, the time is 3 minutes and 20 seconds, so let's convert it:
Time in minutes = (3 + (20 / 60))
Time in minutes = (3 + 0.33)
Time in minutes = 3.33 minutes
Now, we can find the horse's average speed in miles per minute by dividing the total distance by the time:
Average speed = Total distance / Time in minutes
Let's do the calculation:
Average speed = (7/6) / 3.33
Average speed ≈ 0.352 miles per minute
Therefore, the horse's average speed is approximately 0.352 miles per minute.