Final answer:
To find the time it takes to run 1 lap, multiply ⅗ and ⅙ to find the time it takes to run ⅗ laps, then divide that time by ⅗ to find the time it takes to run 1 lap. The time it takes to run 1 lap is approximately 0.0926 hour.
Step-by-step explanation:
To determine how long it will take to run 1 lap, we need to find the amount of time it takes to run ⅗ laps in ⅙ an hour and then divide that time by ⅗ to find the time it takes to run 1 lap.
First, we need to find the time it takes to run ⅗ laps. We can do this by finding the product of ⅗ and ⅙.
⅗ * ⅙ = ⅓ * ⅙ = 1/18 hour.
So it would take 1/18 hour to run ⅗ laps. Now, to find the time it takes to run 1 lap, we divide 1/18 hour by ⅗.
(1/18) ÷ (⅗) = (1/18) * (5/3) = 5/54 hour.
Therefore, it would take 5/54 hour, or approximately 0.0926 hour, to run 1 lap.