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A water tank can be filled by an inlet pipe in 6 6 hours. it takes 4 4 times as long for the outlet pipe to empty the tank. how long will it take to fill the tank if both pipes are open?

User Twalberg
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1 Answer

3 votes
To fill:
6 hours = 1 tank
1 hour = 1/6 tank

To drain:
It takes 4 times as long, therefore 4 x 6 = 24
24 hours = 1 tank
1hour = 1/24 tank

If both pipes are open
1 hour = 1/6 - 1/24 = 1/8 tank
1/8 tank = 1 hour
8/8 tank = 1 x 8 hour
1full tank = 8 hours
User Yathavan
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6.0k points