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)

Answer 1

To find out how long it will take Rubio to get to his friend's house, we need to set up a proportion using the given information.

Since Rubio can walk 2/3 mile in 16 minutes, we can set up the proportion:

(2/3 mile) / (16 minutes) = (1 mile) / (x minutes)

We can then cross multiply to solve for x:

(2/3) * x = 16 * 1

Simplifying the equation, we get:

(2/3) * x = 16

To isolate x, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:

(2/3) * x * (3/2) = 16 * (3/2)

Multiplying, we get:

(2 * 3 * x) / (3 * 2) = (48 / 2)

Simplifying the equation further, we get:

(6 * x) / (6) = 24

Now, solve for x by dividing both sides of the equation by 6:

x = 24

Therefore, it will take Rubio 24 minutes to get to his friend's house.