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?
If Rubio can walk 2/3 mile in 16 minutes, then he can walk 1 mile in (16 minutes)/(2/3) mile = 16*3/2 = <<16*3/2=24>>24 minutes. Answer: \boxed{24}.
Find the quotient of 9/10 and 2/3
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 2/3 is 3/2. Therefore,
\[
\frac{9}{10} \div \frac{2}{3} = \frac{9}{10} \cdot \frac{3}{2} = \frac{9 \cdot 3}{10 \cdot 2} = \frac{27}{20}.
\]
So, the quotient of 9/10 and 2/3 is \boxed{\frac{27}{20}}.
To find out how long it will take Rubio to get to his friend's house, you can use the formula:
time = distance / speed
Where:
distance = 1 mile
speed = 2/3 mile per 16 minutes
Substituting the values into the formula:
time = 1 mile / (2/3 mile per 16 minutes)
Now, to divide by a fraction, we can multiply by its reciprocal:
time = 1 mile * (16 minutes / 2/3 mile)
Simplifying the expression:
time = 1 mile * (16 minutes * 3/2 mile)
time = 1 mile * (48 minutes / 2 mile)
The miles in the numerator and denominator cancel out:
time = 48 minutes / 2
Finally, dividing 48 minutes by 2:
time = 24 minutes
So, at a pace of 2/3 mile in 16 minutes, it will take Rubio 24 minutes to reach his friend's house.
To determine how long it will take Rubio to get to his friend's house, we need to use the information given: Rubio walks at a pace of 2/3 mile in 16 minutes.
First, we can find the time it takes to walk 1 mile by setting up a proportion.
Let's denote the time it takes Rubio to walk 1 mile as x minutes.
Using the proportion:
(2/3 mile) / (16 minutes) = (1 mile) / (x minutes)
We can cross multiply to solve for x:
(2/3) * x = 1 * 16
To solve for x, multiply 1 and 16:
(2/3) * x = 16
Now, we can solve for x by isolating it. Divide both sides of the equation by 2/3:
x = (16) / (2/3)
To divide a fraction by another fraction, we can multiply the first fraction by the reciprocal of the second fraction:
x = 16 * (3/2)
Multiply 16 and 3:
x = 48 / 2
Divide 48 by 2:
x = 24
Therefore, Rubio will take 24 minutes to reach his friend's house.