67. Filling a Pool With Spouts It's cool, but we still suggest filling a pool. It can be heated, of course. To fill it with water, there are three spouts. The first takes 30 hours; the second takes 40 hours, and the third, five days. If all three spouts are connected together, how long will it take to fill the pool? Added 21 March 2009 Show Hint Show Solution Hint: Calculate the filling rate of each dispenser and add them up. Solution: The first fountain fills 1/30 of the pool per hour, the second 1/40 and the third 1/120 (5 days = 120 hours). Together they fill 1/30 + 1/40 + 1/120 = 1/24. Therefore, it takes 24 hours to fill the pool.
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