1 lap around a track = 1/5 of a mile. A horse horse ran a total of 3 laps in 1 minute and 30 seconds. What's the horses average speed in miles per Minute? I've tried so hard all I can come up with is 1/5 of a mile per each 1/2 minute (30 seconds) is that right pleas help
That sounds right, so in 1 minute (60 seconds), the horse ran 2/5 mile, right? Another way to express 2/5 is 0.4.
2/5 mile
4/10 mile
0.4 mile
if it is 3 laps in 1 minute and each lap is 1/5 wouldn't it be 3/5 miles per minute?
Three laps in 1 minute 30 seconds!
Read carefully!
distance = 3(1/5) = 3/5 miles
time = 3/2 minutes
speed = distance/time = (3/5) / (3/2) mpm
= (3/5)(2/3) mpm
= 2/5 miles/minute or .4 miles/minute
To find the horse's average speed in miles per minute, you need to calculate the total distance covered in miles and divide it by the time taken in minutes.
First, let's calculate the total distance covered. Since 1 lap is equal to 1/5 of a mile, and the horse ran a total of 3 laps, you can calculate the total distance as follows:
Total Distance = 3 laps × 1/5 mile/lap
Total Distance = 3/5 mile
Next, we need to convert the time taken to complete the laps from minutes and seconds to minutes only. You mentioned the horse completed the laps in 1 minute and 30 seconds, which is equivalent to 1.5 minutes.
Now, we can calculate the horse's average speed:
Average Speed = Total Distance / Time Taken
Average Speed = (3/5) mile / 1.5 minutes
To divide by a fraction, you invert and multiply. In other words, dividing by 1.5 minutes is the same as multiplying by the reciprocal of 1.5 minutes, which is 2/3 (3/2 when flipped).
Average Speed = (3/5) mile × (2/3) minutes
Average Speed = 6/15 mile-minute
Simplifying the fraction, the average speed of the horse is:
Average Speed = 2/5 mile/minute
Therefore, the horse's average speed is 2/5 mile per minute.