Rubio decides he is going to walk to his friends 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 friends house ?
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 travel (1 mile) by his walking pace (2/3 mile in 16 minutes).
First, we convert the walking pace from miles per minute to miles per hour:
(2/3 mile) / (16 minutes) = (2/3 mile) / (16/60) hour
= (2/3 mile) / (4/15) hour
= (2/3 mile) * (15/4 hour)
= 10/3 mile/hour
Now, we can calculate the time it will take Rubio to walk 1 mile:
Time = Distance / Speed
Time = 1 mile / (10/3 mile/hour)
Time = 1 mile * (3/10 hour/mile)
Time = 3/10 hour
So, it will take Rubio 3/10 hour to walk to his friend's house, which is equal to 18 minutes.
To find the time it will take Rubio to get to his friend's house, we need to use the rate at which he walks.
Given that Rubio walks at a pace of 2/3 miles in 16 minutes, we can set up a proportion to find the time 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 for x (the time it will take him to walk 1 mile), we can cross multiply:
(2/3) * x = 16 * 1
Next, we can simplify the equation:
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
Simplifying further, we find:
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 at a pace of 2/3 mile in 16 minutes, we can set up a proportion:
(2/3 mile) / (16 minutes) = (1 mile) / (x minutes)
To solve for x, we can cross-multiply:
(2/3) * x = 1 * 16
Now, we can solve for x by multiplying both sides of the equation by 3/2 to isolate x:
(3/2) * (2/3) * x = (3/2) * 16
This simplifies to:
x = 24
Therefore, it will take Rubio approximately 24 minutes to walk to his friend's house.