Two friends are walking on treadmills at the gym. Alden walked 2 miles in 3/4 of an hour. Kira walked 1 3/4 miles in 30 minutes. What is Kira's rate in miles per hour?
Help me please
this works the same way as your 3:16 post
To find Kira's rate in miles per hour, we need to calculate the distance she walked in 1 hour.
We know that Kira walked 1 3/4 miles in 30 minutes. Let's convert this fraction into an improper fraction:
1 3/4 = (4 * 1 + 3)/4 = 7/4
Now, we can calculate the rate by dividing the distance walked by the time taken.
Kira's rate = distance / time = (7/4 miles) / (30 minutes)
But we need to convert the time to hours since we want the rate in miles per hour.
1 hour = 60 minutes
Therefore, (30 minutes) * (1 hour / 60 minutes) = 30/60 = 1/2 hour
Now, let's substitute the values into the equation:
Kira's rate = (7/4 miles) / (1/2 hour)
To divide by a fraction, we can multiply by its reciprocal:
Kira's rate = (7/4 miles) * (2/1 hour)
Now, we can simplify:
Kira's rate = (7/4) * (2/1) = 14/4 = 7/2
Therefore, Kira's rate is 7/2 miles per hour.