# When Jane's wading pool was new, it could be filled in 6 minutes, with water from a hose. Now that the pool has several leaks, it takes only 8 minutes, for all of the water to leak out of the full pool. How long does it take to fill the leaky pool?

May 29, 2018

If the total volume of the pool is $x$ units, then every minute $\frac{x}{6}$ units of water are put into the pool. Similarly, $\frac{x}{8}$ units of water leak from the pool each minute.
Hence, (+)$\frac{x}{6} - \frac{x}{8} = \frac{x}{24}$ units of water filled per minute.