Solve this multi-step problem. A runner completes 1/4 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes?(1 point) Responses 160 miles 160 miles 110 mile Start Fraction 1 over 10 End Fraction mile 212 miles 2 Start Fraction 1 over 2 End Fraction miles 18 mile
The runner completes 1/4 of a 5-mile race every 8 minutes, so in 16 minutes, the runner can complete 1/4 * 2 = 1/2 of the 5-mile race.
Therefore, the runner can go 1/2 * 5 = 2.5 miles in 16 minutes.
To solve this problem, we need to find out how far the runner can go in 16 minutes at the same pace.
We know that the runner completes 1/4 of a 5-mile race in 8 minutes.
To find out how far the runner can go in 16 minutes, we can set up a proportion:
(1/4) / 8 minutes = x / 16 minutes
To cross multiply:
8 minutes * x = 16 minutes * (1/4)
8x = 4
Simplify the equation by dividing both sides by 8:
x = 4/8
Simplify further:
x = 1/2
Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.
To solve this multi-step problem, we need to understand the given information and break it down into smaller steps. Let's tackle it step by step:
1. We are told that a runner completes 1/4 of a 5-mile race every 8 minutes. This means that in 8 minutes, the runner covers 1/4 of the total distance, which is 5 miles. To find the distance covered in 1 minute, we need to divide the distance covered in 8 minutes (1/4 of 5 miles) by 8:
Distance covered in 1 minute = (1/4 * 5 miles) / 8 = 5/32 mile
2. Now that we know the runner covers 5/32 mile in 1 minute, we can calculate how far the runner can go in 16 minutes. To do that, we multiply the distance covered in 1 minute (5/32 mile) by 16:
Distance covered in 16 minutes = (5/32 mile) * 16 = 80/32 mile = 2.5 miles
Therefore, the runner can go 2.5 miles in 16 minutes.