SOLUTION: a hose fills a rectangular swimming pool in two days. suppose that a similar pool has the same average depth but is four times longer and two times wider. how long will it take to

Algebra ->  Test -> SOLUTION: a hose fills a rectangular swimming pool in two days. suppose that a similar pool has the same average depth but is four times longer and two times wider. how long will it take to       Log On


   

Question 702662: a hose fills a rectangular swimming pool in two days. suppose that a similar pool has the same average depth but is four times longer and two times wider. how long will it take to fill up the swimming pool
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Drawing a picture for this is difficult but not so bad on paper.

How much bigger is the volume of the second pool than the first pool? Really, how many times bigger is it?

Using w=width, d=depth, L=length,
V%5B1%5D=w%2Ad%2AL
V%5B2%5D=2w%2Ad%2A4L, and then V%5B2%5D=8%2Aw%2Ad%2AL

There you see that the second pool is 8 times more volume than the first pool.
Since the pipe needs 2 days to fill first pool, we now know 16 days to fill the second pool.