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?
Let's solve this step by step:
First, we need to find out how far the runner can go in 1 minute. To do that, we divide 1/4 of a 5-mile race by 8 minutes:
(1/4 mile) / (8 minutes) = 1/32 mile per minute.
Now, we need to determine how far the runner can go in 16 minutes. To do that, we multiply the distance covered in 1 minute by 16 minutes:
(1/32 mile per minute) * (16 minutes) = 16/32 mile = 1/2 mile.
Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.
To solve this multi-step problem, follow these steps:
Step 1: Determine the distance the runner covers in 1 minute.
To find this, divide 1/4 mile (the distance covered in 8 minutes) by 8.
1/4 mile ÷ 8 minutes = 1/32 mile per minute.
Step 2: Calculate the distance the runner can cover in 16 minutes.
Multiply the distance covered in 1 minute by 16.
1/32 mile per minute × 16 minutes = 1/2 mile.
Therefore, the runner can cover 1/2 mile in 16 minutes at the same pace.