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)
minutes
To find out how long it will take Rubio to walk to his friend's house, we need to divide the distance by the rate.
Distance ÷ Rate = Time
1 mile ÷ (2/3 mile/16 minutes)
To divide by a fraction, we multiply by its reciprocal.
1 mile ÷ (2/3 mile/16 minutes) = 1 mile × (16 minutes / 2/3 mile)
Simplifying the expression inside the parentheses:
1 mile × (16 minutes / 2/3 mile) = 1 mile × (16 minutes × 3/2 mile)
Multiplying across:
1 mile × (16 minutes × 3/2 mile) = 1 mile × (48 minutes/mile)
The miles cancel out, and we are left with:
48 minutes
Therefore, it will take Rubio 48 minutes to walk to his friend's house.
Wrong
Apologies for the mistake. Let's correct it.
To find out how long it will take Rubio to walk to his friend's house, we need to divide the distance by the rate.
Distance ÷ Rate = Time
1 mile ÷ (2/3 mile / 16 minutes)
To divide by a fraction, we multiply by its reciprocal.
1 mile ÷ (2/3 mile / 16 minutes) = 1 mile × (16 minutes / 2/3 mile)
Simplifying the expression inside the parentheses:
1 mile × (16 minutes / 2/3 mile) = 1 mile × (16 minutes × 3/2 mile)
Multiplying across:
1 mile × (16 minutes × 3/2 mile) = 1 mile × (48 minutes/mile)
The miles cancel out, and we are left with:
48 minutes/mile
Therefore, it will take Rubio 48 minutes to walk 1 mile.
Since he needs to walk a total of 1 mile to his friend's house, the total time will be 48 minutes.
Still wrong
Apologies for the repeated mistakes. Let's correct it once again.
Rubio can walk at a pace of 2/3 mile in 16 minutes. To find out how long it will take him to walk 1 mile, 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 mile) * x = (16 minutes) * (1 mile)
Simplifying the equation:
(2/3) * x = 16
To isolate x, we need to divide both sides of the equation by (2/3):
x = 16 / (2/3)
To divide by a fraction, we multiply by its reciprocal:
x = 16 * (3/2)
x = 48
Therefore, it will take Rubio 48 minutes to walk to his friend's house, which is 1 mile away.
To solve this problem, we can use the concept of rates. We know that Rubio can walk at a pace of 2/3 mile in 16 minutes.
To find out how long it will take him to walk 1 mile, we can set up a proportion:
(2/3 mile) / (16 minutes) = 1 mile / x minutes
Cross-multiplying, we get:
(2/3) * x = 16 * 1
Simplifying, we have:
2x/3 = 16
Multiplying both sides by 3/2, we get:
x = (16 * 3) / 2
Simplifying further, we have:
x = 24 / 2
x = 12
Therefore, it will take Rubio 12 minutes to walk to his friend's house.
To calculate how long it will take Rubio to get to his friend's house, we need to divide the distance to his friend's house (1 mile) by Rubio's walking pace (2/3 mile per 16 minutes).
First, let's convert Rubio's walking pace to a rate per minute. We can do this by dividing 2/3 mile by 16 minutes:
(2/3 mile) / (16 minutes) = 1/3 mile per 8 minutes
Now that we have Rubio's walking rate per minute, we can calculate the time it will take him to walk 1 mile by dividing the distance (1 mile) by the walking rate (1/3 mile per 8 minutes):
(1 mile) / (1/3 mile per 8 minutes) = (1 mile) * (8 minutes / 1/3 mile)
= 8 * (1/3) minutes
= 8 * 3 minutes
= 24 minutes
Therefore, it will take Rubio approximately 24 minutes to get to his friend's house.