SOLUTION: Can you explain how to solve this word problem?: It normally takes 2 h to fill a swimming pool. The pool has developed a slow leak. If the pool were full, it would take 10 h for a

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Question 399818: Can you explain how to solve this word problem?:
It normally takes 2 h to fill a swimming pool. The pool has developed a slow leak. If the pool were full, it would take 10 h for all the water to leak out. If the pool is empty, how long will it take to fill it?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
It normally takes 2 h to fill a swimming pool.
The pool has developed a slow leak.
If the pool were full, it would take 10 h for all the water to leak out.
If the pool is empty, how long will it take to fill it?
:
Let t = time to fill the pool, now that it is leaking
Let the completed job = 1; a full pool
:
t%2F2 - t%2F10 = 1
Multiply 10 to get rid of the denominators, results:
5t - t = 10
4t = 10
t = 10%2F4
t = 2.5 hrs to fill the pool now