Two friends worked out on treadmills at the gym.
•Alden walked 2 miles in 3/4 hour
•Kira walked 1 3/4 miles in 30 minutes
Who walked at a faster rate?
rate = distance/time
Alden: rate = 2/(3/4) mph
= 2(4/3)
= 8/3 mph or appr 2.67 mph
Kira:
rate = 1.75/.5 mph
= 3.5 mph
This was helpful¡ Kira walked at a faster rate.
Alden= 2 miles divided by 3/4 hr. =2 and 2/3
Kira= 1 and 3/4 divided by 30= 7/120 that means that she walked 7 miles in 2 hours since 60 +60=120. And 60 minutes is one hour. You can convert 7/120 to 7/2 = 7 miles in 2 hours. That is an improper fraction so you would have to turn it into a mixed number. 7/2= 3 and 1/2.
2 and 2/3 is less than or < 3 and 1/2 .
So Kira walked at a faster rate.
Kira walked at a faster rate.😉
Someone please help me with this!
kira
Kira walked at a faster rate.
kira is faster
kira
Great
To determine who walked at a faster rate, we need to compare the rate at which Alden and Kira walked. The rate of walking is measured in miles per hour.
First, let's convert Alden's time from 3/4 hour to minutes. Since there are 60 minutes in an hour, we can calculate 3/4 of 60:
(3/4) × 60 = 45 minutes
So, Alden walked 2 miles in 45 minutes.
Now, let's calculate Alden's walking rate:
Rate = Distance / Time
Rate = 2 miles / 45 minutes
To simplify the rate, we can convert 45 minutes into hours by dividing it by 60 (since there are 60 minutes in an hour):
Rate = 2 miles / (45/60) hours
= 2 miles / (3/4) hours
= 2 miles × (4/3) hours
= 8/3 miles per hour
≈ 2.67 miles per hour
Next, let's convert Kira's time from 30 minutes to hours. Again, we divide by 60:
30 minutes / 60 = 1/2 hour
So, Kira walked 1 3/4 miles in 1/2 hour.
Now, let's calculate Kira's walking rate:
Rate = Distance / Time
Rate = (7/4) miles / (1/2) hour
= (7/4) miles × (2/1) hours
= 14/4 miles per hour
= 3.5 miles per hour
Comparing the rates, we see that Alden walked at around 2.67 miles per hour, while Kira walked at 3.5 miles per hour. Therefore, Kira walked at a faster rate than Alden.