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
1/8 mile
Start Fraction 1 over 8 End Fraction mile
2 1/2 miles
2 Start Fraction 1 over 2 End Fraction miles
1/10 mile
Start by finding the distance the runner covers in 1 minute by dividing 1/4 of the race distance (5 miles) by 8 minutes:
(1/4 mile) / 8 minutes = 1/32 mile per minute
Then, multiply the distance covered in 1 minute by the number of minutes you want to find (16 minutes):
(1/32 mile per minute) * 16 minutes = 1/2 mile
Therefore, the runner can go 1/2 mile in 16 minutes.
To solve this problem, we need to find out how many 1/4 mile increments the runner can complete in 16 minutes at the same pace.
Given that the runner completes 1/4 mile every 8 minutes, we can calculate how many 1/4 mile increments the runner can complete in 16 minutes by dividing 16 minutes by 8 minutes.
So, 16 minutes / 8 minutes = 2.
Therefore, the runner can complete 2 increments of 1/4 mile in 16 minutes.
Since each increment is 1/4 mile, we can multiply 2 by 1/4 to find out the total distance the runner can go in 16 minutes.
2 * 1/4 = 2/4 = 1/2 mile.
Thus, the runner can go 1/2 mile in 16 minutes at the same pace.