Solve this multi step problem a runner complete 1/4 of a 5 mile race every eight minutes at the same pace. How far can a rhino ago and 16 minutes
To find the distance a rhino can cover in 16 minutes, we first need to find out how many increments of 1/4 mile the runner completes in 16 minutes.
Since the runner completes 1/4 mile every 8 minutes, in 16 minutes they will complete 16 / 8 = 2 increments of 1/4 mile.
Therefore, the runner covers 2 * 1/4 = 1/2 mile in 16 minutes.
So a rhino can go 1/2 mile in 16 minutes.
To find out how far a rhino can go in 16 minutes, we need to calculate the distance a runner covers in 16 minutes and compare it to the distance they cover in 8 minutes.
Step 1: Calculate the distance covered by the runner in 8 minutes.
The runner completes 1/4 of a 5-mile race every 8 minutes, so the runner covers:
(1/4) * 5 = 5/4 = 1.25 miles in 8 minutes.
Step 2: Calculate the distance covered by the runner in 16 minutes.
Since the runner covers 1.25 miles in 8 minutes, we can set up a proportion to find out the distance covered in 16 minutes:
8 minutes = 1.25 miles
16 minutes = x miles
Using cross-multiplication:
8 * x = 16 * 1.25
8x = 20
x = 20 / 8
x = 2.5
Therefore, the runner covers 2.5 miles in 16 minutes.
So, the rhino can cover a distance of 2.5 miles in 16 minutes.
To solve this problem, we can use the information given about the runner to find their speed (distance per minute), and then calculate how far a rhino can go in 16 minutes.
First, we need to calculate the distance the runner covers in eight minutes. We know that the runner completes 1/4 of a 5-mile race in 8 minutes. To find the distance covered in 8 minutes, we can calculate 1/4 of 5 miles:
1/4 * 5 miles = 5/4 miles
So, the runner covers 5/4 miles in 8 minutes.
Next, we can calculate the runner's speed by dividing the distance by the time:
Speed = Distance / Time
Speed = (5/4 miles) / (8 minutes)
Speed = (5/4) / 8
To simplify the calculation, we can convert the fraction (5/4) to a decimal by dividing the numerator by the denominator:
Speed = 5 / (4 * 8)
Speed = 5 / 32
Therefore, the runner's speed is 5/32 miles per minute.
Now, we can find how far a rhino can go in 16 minutes by multiplying the rhino's speed by the time period:
Distance = Speed * Time
Distance = (5/32 miles per minute) * 16 minutes
To simplify this calculation, we can multiply the fractions directly:
Distance = (5/32) * 16
Using cross multiplication, we multiply the numerators and denominators:
Distance = (5 * 16) / 32
Distance = 80 / 32
Simplifying the fraction, we divide the numerator by the denominator:
Distance = 2.5 miles
Therefore, a rhino can go 2.5 miles in 16 minutes.