A tortoise takes 1 and 1/4 hours to walk 5/6 miles. At this rate , how long does it take her to walk 1 mile?
To find out how long it takes the tortoise to walk 1 mile, we first need to determine how long it takes her to walk 1 mile at her current rate of speed.
Let's set up a proportion:
1 and 1/4 hours is equivalent to 5/6 miles
x hours is equivalent to 1 mile
(5/6) miles / (1 and 1/4) hours = 1 mile / x hours
(5/6) / (5/4) = 1 / x
(5/6) * (4/5) = 1 / x
20/30 = 1 / x
2/3 = 1 / x
Cross multiply:
2x = 3
x = 3/2
Therefore, it takes the tortoise 1 and 1/2 hours to walk 1 mile at her current rate of speed.