Question

A snail moves 1/40 of a mile in 3/4 of an hour. If the snail continues at this pace, how far, in miles, does it move in one hour?
The answer is .03 or 1/30 but, Idk how to explain my answer.

Answer 1

A snail moves 1/40 of a mile in 3/4 of an hour. If the snail continues at this pace, how far, in miles, does it move in one hour?

In $\frac{3}{4}$ hour snail moves $\frac{1}{40}$miles

$\frac{3}{4} hour = \frac{1}{40}$ miles

Let us multiply by 4 on both sides, so that we can get the distance to be traveled in 1 hour.

So, $\frac{3*4}{4} hour=\frac{1*4}{40}$ miles

$\frac{3*1}{1} hour=\frac{4}{40}$ miles

Now to get distance in 1 hour, Let us divide by 3 on both sides

$\frac{3}{3} hour=\frac{1}{10*3}$ miles

$\frac{1}{1} hour=\frac{1}{30}$ miles

In 1 hour, the snail travels $\frac{1}{30}$miles

Answer 2

1/40 ÷ 3/4 = 1/40 ÷ 4/3 = 4/120 = 1/30