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?
If the runner completes 1/4 of a 5-mile race every 8 minutes, this means they cover 5/4 miles in 8 minutes.
To find how far the runner can go in 16 minutes, we need to proportionally increase the distance.
Using the formula distance = speed x time, we can set up the equation 5/4 = speed x 8. Solving for the speed, we find that the runner's speed is 5/32 miles per minute.
To find the distance the runner can travel in 16 minutes, we multiply the speed by the time: (5/32) x 16 = 5/2 = 2.5 miles.
Therefore, the runner can go 2.5 miles in 16 minutes.
use properties of operations and rules for multiplying and Dividing to solve: (-2) x (1/5) divided by (2/3) x (-5/6) divided by (3/4)
To solve this expression, we start by simplifying each multiplication and division one step at a time, according to the rules for multiplying and dividing:
Step 1: Simplify the multiplication: (-2) x (1/5) = -2/5.
Step 2: Simplify the multiplication: (2/3) x (-5/6) = -10/18 = -5/9.
Step 3: Simplify the division: (-2/5) ÷ (-5/9) = (-2/5) x (9/-5) = -18/(-25) = 18/25.
Step 4: Simplify the division: (18/25) ÷ (3/4) = (18/25) x (4/3) = 72/75 = 24/25.
Therefore, the simplified expression is 24/25.
is it - 1/6
is it - 2/3
is it 2/3
is it 1/6
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To solve this multi-step problem, we need to determine the distance the runner can cover in 16 minutes at the same pace.
Step 1: Determine the distance covered in one minute.
We know that the runner completes 1/4 of the 5-mile race in 8 minutes. So, in 1 minute, the runner would cover 1/8 of that distance. To find out how much that is, we divide 1/4 by 8:
1/4 ÷ 8 = 1/32
Therefore, the runner covers 1/32 of a mile in 1 minute.
Step 2: Determine the distance covered in 16 minutes.
To find out how far the runner can go in 16 minutes, we multiply the distance covered in 1 minute by 16:
1/32 (distance covered in 1 minute) × 16 = 16/32 = 1/2
Therefore, the runner can cover 1/2 mile in 16 minutes at the same pace.
In conclusion:
At the same pace, the runner can cover 1/2 mile in 16 minutes.