Question

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?

Answer 1

24 minutes

Explanation:

If the total volume of the pool is `x` units, then every minute `x/6` units of water are put into the pool. Similarly, `x/8` units of water leak from the pool each minute.

Hence, (+)`x/6 - x/8 = x/24` units of water filled per minute.

Consequently, the pool takes 24 minutes to be filled.