SOLUTION: There are three small holes in a tub filled with water. If opened, hole one will empty the tub in 3 hours; hole 2 will empty the tub in 4 hours and hole 3 will empty the tub in 5
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-> SOLUTION: There are three small holes in a tub filled with water. If opened, hole one will empty the tub in 3 hours; hole 2 will empty the tub in 4 hours and hole 3 will empty the tub in 5
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Question 1091142: There are three small holes in a tub filled with water. If opened, hole one will empty the tub in 3 hours; hole 2 will empty the tub in 4 hours and hole 3 will empty the tub in 5 hours. If all 3 holes are opened at the same time, how long will it take to empty the tub? Answer by ikleyn(52773) (Show Source):
The rate of the hole/drain 1 of emptying the tank is of the tank volume per hour.
The rate of the hole/drain 2 is of the tank volume per hour.
The rate of the hole/drain 3 is of the tank volume per hour.
When all 3 holes are opened (all three drains are turned ON), their combined rate is = = of the tank volume per hour.
Hence, it will take hours = hours to empty the tank if all three holes are opened.
