In my society named
"GPuzzles", there is a huge swimming pool and there are four pipes that can fill a swimming pool.
> The first pipe can fill the swimming pool completely in exact 2 days.
> The first pipe can fill the swimming pool completely in exact 3 days.
> The first pipe can fill the swimming pool completely in exact 4 days.
> The first pipe can fill the swimming pool completely in exact 6 hours
One day I opened all the pipes simultaneously, how long will it take the swimming pool to be filled completely?
Solution:
288/61 hours (4 hours, 43 minutes and 17 seconds approx)
Explanation:
In 1 hour, the ratio of swimming pool filled by pipes:
1st pipe: 1/48
2nd pipe: 1/72
3rd pipe: 1/96
4th pipe: 1/6
All togther
1/48 + 1/72 + 1/96 + 1/6
=> (6+4+3+48) / 288 = 61/288.
=> 288/61 hours,
which is 4 hours 43 minutes and about 17 seconds.