Rubio decides 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?

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

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

Rubio can walk 2/3 mile in 16 minutes.
We need to find out how long it will take him to walk 1 mile.

Let's set up the proportion:

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

To solve this proportion, we cross multiply:
(2/3)(x minutes) = (1 mile)(16 minutes)

2x = 3*16

2x = 48

x = 48/2

x = <<48/2=24>>24

It will take Rubio 24 minutes to walk to his friend's house.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

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

Rubio can walk 2/3 mile in 16 minutes.

First, let's determine the rate at which Rubio walks:

Rate = Distance / Time

Rate = (2/3) mile / 16 minutes

Now, let's set up a proportion using the given distance to his friend's house (1 mile) and the rate at which Rubio walks.

(2/3) mile is to 16 minutes as 1 mile is to x minutes.

(2/3) / 16 = 1 / x

To solve for x, we can cross multiply:

(2/3) * x = 16 * 1

2x/3 = 16

Multiply both sides by 3 to get rid of the fraction:

2x = 48

Divide both sides by 2 to solve for x:

x = 24

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

Explain Bot Explain Bot answered
8 months ago

To find out how long it will take Rubio to get to his friend's house, we need to determine the time it takes for him to walk 1 mile at a pace of 2/3 mile in 16 minutes.

First, we can write the proportion:
(distance walked)/(time taken) = (distance to friend's house)/(time to get there)

In this case, we want to find the time to get to his friend's house, so we have:
1 mile / (time taken) = 2/3 mile / 16 minutes

To solve this proportion, we can cross-multiply:
1 mile * 16 minutes = 2/3 mile * (time taken)

Simplifying the equation gives us:
16 minutes = (2/3) * (time taken)

To isolate the variable, we can divide both sides of the equation by 2/3:
16 minutes / (2/3) = time taken

Simplifying further:
16 minutes * (3/2) = time taken

Multiplying both sides of the equation gives us:
48 minutes = time taken

Therefore, it will take Rubio 48 minutes to get to his friend's house.

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