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)
minutes
To find out how long it will take Rubio to get to his friend's house, we can set up a proportion.
Rubio walks at a pace of 2/3 mile in 16 minutes.
So, 2/3 mile takes 16 minutes.
If 2/3 mile takes 16 minutes, then 1 mile (the distance to his friend's house) would take x minutes.
Using a proportion, we can set up the equation: (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 to isolate x, 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.