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
To find out how long it will take Rubio to get to his friend's house, we need to divide the distance by his walking pace.
Rubio can walk 2/3 of a mile in 16 minutes.
So, to walk 1 mile, he will take 16 * (1 / (2/3)) = 16 * (3/2) = 48/2 = 24 minutes.
Therefore, it will take Rubio 24 minutes to get to his friend's house.
Find the quotient of 1/2 and 12/7
To find the quotient of 1/2 and 12/7, we need to divide 1/2 by 12/7.
To divide fractions, we invert the second fraction and multiply.
So, the quotient of 1/2 and 12/7 is:
(1/2) * (7/12) = (1 * 7) / (2 * 12) = 7/24
Therefore, the quotient of 1/2 and 12/7 is 7/24.
To calculate how long it will take Rubio to get to his friend's house, we can set up a proportion using the rate of his walking speed.
Rubio walks at a pace of 2/3 mile in 16 minutes. Let's say x represents the time (in minutes) it will take him to walk 1 mile.
So the proportion we can set up is:
(2/3 mile) / 16 minutes = 1 mile / x minutes
To solve for x, we can cross-multiply:
(2/3) * x = 1 * 16
Multiplying both sides, we get:
(2/3) * x = 16
To isolate x, we can divide both sides by 2/3:
x = 16 / (2/3)
To divide by a fraction, we can multiply by its reciprocal:
x = 16 * (3/2)
x = 48/2
Simplifying:
x = 24
So, it will take Rubio 24 minutes to walk to his friend's house.
To find out how long it will take Rubio to get to his friend's house, we can use the rate at which he walks.
We know that Rubio walks at a pace of 2/3 mile in 16 minutes. This means that in 1 minute, he can walk (2/3) ÷ 16 miles.
To find out how long it will take him to walk 1 mile to his friend's house, we can divide 1 by the amount he can walk in 1 minute. So the equation would be:
Time = 1 ÷ [(2/3) ÷ 16]
To simplify this equation, we divide 1 by the fraction inside the brackets, which is equivalent to multiplying 1 by the reciprocal of the fraction:
Time = 1 × [16 ÷ (2/3)]
When we divide 16 by 2/3, we multiply it by the reciprocal of 2/3, which is 3/2:
Time = 1 × (16 × 3/2)
Multiplying 16 by 3/2 gives us 24, so the equation becomes:
Time = 1 × 24
Therefore, it will take Rubio 24 minutes to walk to his friend's house.