Solve this multi step problem, he runner competes, 1/4 of a 5 mile race every eight minutes at the same pace. How far can a runner go in 16 minutes
The runner completes 1/4 of a 5 mile race every 8 minutes, so in 16 minutes (2 times 8 minutes), the runner will complete 2 times 1/4 of the race.
2 times 1/4 is equal to 2/4, which simplifies to 1/2.
Therefore, the runner can go 1/2 mile in 16 minutes.
To solve this problem, we can break it down into steps:
Step 1: Find out how much distance the runner covers in one minute.
Given that the runner completes 1/4 of a 5-mile race every 8 minutes, we can find the distance covered in one minute by dividing 1/4 by 8: 1/4 ÷ 8 = 1/32 miles per minute.
Step 2: Calculate the distance covered in 16 minutes.
Since we know the runner covers 1/32 miles per minute, we can multiply this rate by the number of minutes (16) to find the total distance covered in 16 minutes.
Distance = Rate × Time
Distance = (1/32) × 16 = 1/2 mile.
Therefore, a runner can go 1/2 mile in 16 minutes.
To find out how far a runner can go in 16 minutes, we first need to determine how many 1/4 mile segments can be completed in 16 minutes.
Given that the runner completes 1/4 of a 5 mile race every 8 minutes, we can set up a proportion:
1/4 mile / 8 minutes = x miles / 16 minutes
To solve this proportion, we need to cross multiply and then solve for x:
(1/4) * 16 = 8x
4 = 8x
Next, divide both sides of the equation by 8 to isolate x:
4/8 = x
Therefore, x = 1/2 mile.
Therefore, a runner can go a distance of 1/2 mile in 16 minutes.