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 (1 mile) by his pace (2/3 mile in 16 minutes).
First, we need to determine how many times Rubio's pace fits into 1 mile:
1 mile / (2/3 mile in 16 minutes) = 1 / (2/3) * (16/1) = 1 * 3/2 * 1/16 = 3/32
Next, we need to calculate how long it will take Rubio to cover this distance:
(3/32) * 16 minutes = (3 * 16) / 32 = 48 / 32 = 1.5 minutes
Therefore, it will take Rubio 1.5 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 can set up a proportion using the given information.
Rubio walks at a pace of 2/3 mile in 16 minutes.
We can set up the following proportion:
2/3 mile = 16 minutes
1 mile = x minutes
To solve for x, we can cross multiply:
(2/3) * x = 1 * 16
2x/3 = 16
Multiply both sides of the equation by 3 to isolate x:
2x = 16 * 3
2x = 48
Divide both sides of the equation by 2:
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 walk to his friend's house, we need to:
Step 1: Determine Rubio's walking speed.
Given that he can walk at a pace of 2/3 mile in 16 minutes, we can calculate his speed by dividing the distance traveled by the time taken:
Walking speed = distance / time = (2/3) mile / 16 minutes
Step 2: Calculate the time it will take to walk 1 mile at this speed.
Since we want to find out the time it will take Rubio to walk 1 mile, we can write the equation:
1 mile = (2/3) mile / x minutes
To solve for x (the time in minutes), we rearrange the equation:
1 mile * x minutes = (2/3) mile
x minutes = (2/3) mile / 1 mile
Simplifying the expression:
x minutes = (2/3)
Therefore, it will take Rubio (2/3) minutes, or approximately 40 seconds to get to his friend's house at this pace.