Next door neighbors Moe and Larry are using hoses from each of their houses to fill Moe's pool. They know it takes 12 hours using both hoses. They also know that Moe's hose, used alone, takes 40% less time than using Larry's hose alone. How much time is required to fill the pool using only Moe's hose?

To find out how much time is required to fill the pool using only Moe's hose, we need to calculate the time it would take using Larry's hose alone. Let's assume the time it takes to fill the pool using Larry's hose alone is L hours.

Since Moe's hose takes 40% less time than Larry's hose alone, we can calculate the time it takes using Moe's hose alone as follows:

Moe's time = L - (40% of L)
= L - 0.4L
= 0.6L

According to the given information, Moe and Larry can fill the pool in 12 hours when they use both hoses together. This means that in 1 hour, they fill 1/12th of the pool.

Using both hoses together, Moe and Larry can fill 1/12th of the pool in 1 hour. Since Moe's hose alone takes 0.6L hours to fill the pool, we can set up the following equation:

1/12 = 1 / (0.6L)

To solve for L, we can cross-multiply:

0.6L * 1 = 1 * 12
0.6L = 12
L = 12 / 0.6
L = 20

Therefore, it would take 20 hours to fill the pool using Larry's hose alone.