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 divide the distance he needs to walk by the distance he can walk in a given amount of time.
Rubio can walk 2/3 mile in 16 minutes.
To walk 1 mile, he would need to walk 1 / (2/3) = 1 * (3/2) = 3/2 mile.
Now we can calculate how long it will take him to walk 3/2 mile.
If he can walk 2/3 mile in 16 minutes, then he can walk 1/3 mile in 16/2 = 8 minutes.
Therefore, it will take Rubio 8 * (3/2) = 12 minutes to get to his friend's house.
wrong
Apologies for the mistake. Let's correct our calculations:
If Rubio can walk 2/3 mile in 16 minutes, we can set up a proportion to find out how long it will take him to walk 1 mile:
2/3 mile / 16 minutes = 1 mile / x minutes.
To solve for x, we can cross multiply:
(2/3) * x = 1 * 16.
2x = 48
x = 48 / 2
x = 24.
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 determine the time it takes for him to walk 1 mile at his given pace.
Given:
Distance = 1 mile
Pace = 2/3 mile per 16 minutes
To find the time it takes to walk 1 mile, we can set up a proportion:
Distance / Time = Pace
Substituting the given values:
1 mile / Time = 2/3 mile per 16 minutes
We can cross-multiply to solve for Time:
1 mile * 16 minutes = 2/3 mile * Time
16 minutes = (2/3) mile * Time
To isolate Time, divide both sides of the equation by (2/3) mile:
16 minutes / (2/3) mile = Time
Now we can simplify and solve for Time:
16 minutes / (2/3) mile = Time
Multiplying the numerator and denominator by the reciprocal of (2/3) mile, which is (3/2) mile:
16 minutes * (3/2) mile = Time
The miles cancel out, and we are left with:
Time = 24 minutes
Therefore, it will take Rubio 24 minutes to get to his friend's house at his given pace.