If a person walks 1/5 of a mile in each 1/15 of an hour, what is the rate per hour at which they walk?
(1/5 mi) / (1/15 hr) = 1/5 * 15/1 = 3 mi/hr
Schoolo
To find the rate per hour at which the person walks, we need to determine the total distance they cover in one hour.
Given that the person walks 1/5 of a mile in each 1/15 of an hour, we can calculate the distance covered in one hour by multiplying the distance traveled in 1/15 of an hour by the number of times that period fits into one hour.
1/15 of an hour is equal to (1/15) * (1 hour/60 minutes) = 1/900 of an hour.
To find the number of times 1/900 of an hour fits into one hour, we divide 1 hour by 1/900 of an hour:
1 hour / (1/900 hour) = 1 * (900/1) = 900 times.
Since the person walks 1/5 of a mile in each 1/15 of an hour, the distance covered in one hour is:
(1/5 mile) * 900 = 900/5 = 180 miles.
Therefore, the person walks at a rate of 180 miles per hour.
To find the rate per hour at which the person walks, we need to determine the distance covered in 1 hour. We know that the person walks 1/5 mile in each 1/15 hour.
To convert the time unit from 1/15 hour to 1 hour, we need to find the equivalent ratio. Since 1 hour consists of 60 minutes, we can set up a proportion:
1/15 hour = x/1 hour
To solve for x (the equivalent time in hours), we cross-multiply:
1 * 1 hour = 15 * x
x = 1/15
Now, we know that the person walks 1/5 mile in 1/15 hour and 1/15 hour is equal to 1/15 of 1 hour. To find the distance covered in 1 hour, we set up a proportion:
1/15 hour = 1/5 mile
1 hour = y miles
Cross-multiplying:
1 * y = 15 * 1/5
y = 3/5
Therefore, the person walks at a rate of 3/5 mile per hour.