Rubio decides he is going to walk to his friend's house, which is 1 mile from his house. He can walk at a pace of 2/3 mile in 16 minutes. At this rate, how long will it take him to get to his friend's house?
(1 point)
To find out how long it will take Rubio to get to his friend's house, we need to determine how many 16-minute intervals it will take him to walk 1 mile.
Since he can walk 2/3 mile in 16 minutes, we can set up a proportion to find out how many intervals it would take to walk 1 mile:
(2/3 mile) / (16 minutes) = (1 mile) / (x minutes)
Cross-multiplying, we get:
(2/3)(x) = 16(1)
Simplifying, we have:
2x/3 = 16
Multiplying both sides by 3, we get:
2x = 48
Dividing both sides by 2, we find:
x = 24
Therefore, it will take Rubio 24 minutes to get to his friend's house.
To calculate how long it will take Rubio to get to his friend's house, we can use proportions.
Rubio walks 2/3 mile in 16 minutes.
Therefore, the number of miles he walks in 1 minute can be calculated by dividing 2/3 by 16:
2/3 mile / 16 minutes = (2/3) ÷ 16 = 2/3 × 1/16 = 2/48 = 1/24 mile.
Since Rubio's friend's house is 1 mile away from his house, it will take him 24 minutes to walk there:
1 mile ÷ (1/24 mile/minute) = 1 × 24/1 = 24 minutes.
Therefore, it will take Rubio 24 minutes to get to his friend's house.
To find out how long it will take Rubio to get to his friend's house, we need to divide the distance of 1 mile by his pace of 2/3 mile in 16 minutes.
First, let's find out how many 2/3 mile distances are in 1 mile. We can do this by dividing 1 by 2/3:
1 / (2/3) = 1 * (3/2) = 3/2
So, there are 3/2 (or 1.5) 2/3 mile distances in 1 mile.
Next, we can find how long it will take Rubio to walk 1.5 distances (equivalent to 1 mile) by multiplying 16 minutes with 1.5:
16 minutes * 1.5 = 24 minutes
Therefore, it will take Rubio 24 minutes to get to his friend's house.