A tortoise takes 1 1/4 hours to walk 5/6 miles. At this rate, how long does it take her to walk 1 mile? Make sure your answer is a fraction
To find the time it takes for the tortoise to walk 1 mile at the given rate, we can set up a proportion:
(1 1/4 hours) / (5/6 miles) = x hours / 1 mile
First, convert 1 1/4 hours to an improper fraction:
1 1/4 = 5/4 hours
Now, substitute this and 5/6 into the proportion:
(5/4) / (5/6) = x / 1
Multiply by the reciprocal of 5/6:
(5/4) * (6/5) = x
Simplify:
(30/20) = x
x = 3/2
Therefore, it takes the tortoise 3/2 hours to walk 1 mile at the given rate.