A snail moves 1/40 of a mile in 5/6 of an hour. if the snail continues at this pace, how far, in miles does it move in one hour?

5/6 hours -----> 1/40 mile

(6/5)(5/6) hours ---- (1/40)(6/5) mile
1 hour -----> 6/200 miles or 3/100 of a mile

thank you!

How long will it take the snail to travel 24 cm

To find out how far the snail would move in one hour, we need to determine the distance it covers in 5/6 of an hour and then calculate how much that distance would be in one hour.

First, we know that the snail moves 1/40 of a mile in 5/6 of an hour. To calculate how far it moves in 5/6 of an hour, we can divide 1/40 by 5/6:

(1/40) / (5/6) = (1/40) * (6/5)

To multiply fractions, we multiply the numerators (top numbers) and the denominators (bottom numbers):

(1 * 6) / (40 * 5) = 6/200

Simplifying the fraction by dividing the numerator and denominator by their greatest common divisor (2), we have:

6/200 = 3/100

So, the snail moves 3/100 (or 0.03) of a mile in 5/6 of an hour.

Now, to find out how far the snail moves in one hour, we need to calculate the distance covered in 5/6 of an hour and then scale it up to the duration of one hour. Since one hour is equal to 6/6 (or the whole), we can use a proportion to determine the distance covered in one hour.

Let x represent the distance covered in one hour. We can set up the proportion:

(3/100) / (5/6) = x / 1

To solve for x, we can cross-multiply:

(3/100) * 1 = (5/6) * x

3/100 = 5x/6

To isolate x, we'll multiply both sides of the equation by (6/5):

(6/5) * (3/100) = x

(18/500) = x

Now, simplifying the fraction, we find:

x = 9/250

Therefore, the snail would move 9/250 (or approximately 0.036) of a mile in one hour.